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1425485600 = 255271173317
BaseRepresentation
bin101010011110111…
…0010111100100000
310200100022011121222
41110331302330200
510404411014400
6353241034212
750216266460
oct12475627440
93610264558
101425485600
11671716480
12339485968
13199432a06
14d7467ba0
158522b185
hex54f72f20

1425485600 has 288 divisors, whose sum is σ = 4411967616. Its totient is φ = 436838400.

The previous prime is 1425485587. The next prime is 1425485609. The reversal of 1425485600 is 65845241.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (1425485609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4496642 + ... + 4496958.

It is an arithmetic number, because the mean of its divisors is an integer number (15319332).

Almost surely, 21425485600 is an apocalyptic number.

1425485600 is a gapful number since it is divisible by the number (10) 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 1425485600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2205983808).

1425485600 is an abundant number, since it is smaller than the sum of its proper divisors (2986482016).

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

1425485600 is a wasteful number, since it uses less digits than its factorization.

1425485600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The square root of 1425485600 is about 37755.6035576178. The cubic root of 1425485600 is about 1125.4363673446.

The spelling of 1425485600 in words is "one billion, four hundred twenty-five million, four hundred eighty-five thousand, six hundred".