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425557440 = 2632571119101
BaseRepresentation
bin11001010111010…
…111110111000000
31002122202120001200
4121113113313000
51332420314230
6110121101200
713355115150
oct3127276700
91078676050
10425557440
111a9241670
12ba627800
136a21c449
1440738760
1527561160
hex195d7dc0

425557440 has 672 divisors, whose sum is σ = 1939991040. Its totient is φ = 82944000.

The previous prime is 425557439. The next prime is 425557463. The reversal of 425557440 is 44755524.

It is a happy number.

425557440 is a `hidden beast` number, since 42 + 5 + 5 + 574 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 425557395 and 425557404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4213390 + ... + 4213490.

Almost surely, 2425557440 is an apocalyptic number.

425557440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425557440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969995520).

425557440 is an abundant number, since it is smaller than the sum of its proper divisors (1514433600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

425557440 is a wasteful number, since it uses less digits than its factorization.

425557440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 36.

The square root of 425557440 is about 20629.0436036187. The cubic root of 425557440 is about 752.1758680266.

The spelling of 425557440 in words is "four hundred twenty-five million, five hundred fifty-seven thousand, four hundred forty".