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472074240 = 21135112127
BaseRepresentation
bin11100001000110…
…100100000000000
31012220021212010010
4130020310200000
51431322333430
6114502104520
714461364511
oct3410644000
91186255103
10472074240
11222523400
1211211b140
1376a58291
14469a6a08
152b69dcb0
hex1c234800

472074240 has 288 divisors, whose sum is σ = 1673118720. Its totient is φ = 113541120.

The previous prime is 472074223. The next prime is 472074259. The reversal of 472074240 is 42470274.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 472074198 and 472074207.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3717057 + ... + 3717183.

It is an arithmetic number, because the mean of its divisors is an integer number (5809440).

Almost surely, 2472074240 is an apocalyptic number.

472074240 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 472074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836559360).

472074240 is an abundant number, since it is smaller than the sum of its proper divisors (1201044480).

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

472074240 is a wasteful number, since it uses less digits than its factorization.

472074240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 30.

The square root of 472074240 is about 21727.2695017114. The cubic root of 472074240 is about 778.6401025111.

The spelling of 472074240 in words is "four hundred seventy-two million, seventy-four thousand, two hundred forty".