472085040 has 160 divisors (see below), whose sum is σ = 1694177280. Its totient is φ = 106509312.

The previous prime is 472085023. The next prime is 472085069. The reversal of 472085040 is 40580274.

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 = 472084989 and 472085007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130942 + ... + 134498.

It is an arithmetic number, because the mean of its divisors is an integer number (10588608).

Almost surely, 2^472085040 is an apocalyptic number.

472085040 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 472085040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847088640).

472085040 is an abundant number, since it is smaller than the sum of its proper divisors (1222092240).

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

472085040 is a wasteful number, since it uses less digits than its factorization.

472085040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3659 (or 3653 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 472085040 is about 21727.5180358917. The cubic root of 472085040 is about 778.6460403123.

The spelling of 472085040 in words is "four hundred seventy-two million, eighty-five thousand, forty".