472670640 has 400 divisors, whose sum is σ = 1835049216. Its totient is φ = 111974400.

The previous prime is 472670633. The next prime is 472670647. The reversal of 472670640 is 46076274.

472670640 is a `hidden beast` number, since 4 + 7 + 2 + 6 + 7 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (472670633) and next prime (472670647).

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 = 472670595 and 472670604.

It is not an unprimeable number, because it can be changed into a prime (472670647) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2611350 + ... + 2611530.

Almost surely, 2^472670640 is an apocalyptic number.

472670640 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 472670640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917524608).

472670640 is an abundant number, since it is smaller than the sum of its proper divisors (1362378576).

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

472670640 is a wasteful number, since it uses less digits than its factorization.

472670640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 472670640 is about 21740.9898578699. The cubic root of 472670640 is about 778.9678656006.

The spelling of 472670640 in words is "four hundred seventy-two million, six hundred seventy thousand, six hundred forty".