472717440 has 384 divisors, whose sum is σ = 1804420800. Its totient is φ = 113319936.

The previous prime is 472717417. The next prime is 472717451. The reversal of 472717440 is 44717274.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 472717395 and 472717404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4417867 + ... + 4417973.

Almost surely, 2^472717440 is an apocalyptic number.

472717440 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 472717440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902210400).

472717440 is an abundant number, since it is smaller than the sum of its proper divisors (1331703360).

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

472717440 is a wasteful number, since it uses less digits than its factorization.

472717440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 36.

The square root of 472717440 is about 21742.0661391690. The cubic root of 472717440 is about 778.9935737717.

The spelling of 472717440 in words is "four hundred seventy-two million, seven hundred seventeen thousand, four hundred forty".