472505040 has 360 divisors, whose sum is σ = 1885459680. Its totient is φ = 105702912.

The previous prime is 472505023. The next prime is 472505041. The reversal of 472505040 is 40505274.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×472505040² = 446522025650803200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 472504995 and 472505013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472505041) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2081407 + ... + 2081633.

It is an arithmetic number, because the mean of its divisors is an integer number (5237388).

Almost surely, 2^472505040 is an apocalyptic number.

472505040 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 472505040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942729840).

472505040 is an abundant number, since it is smaller than the sum of its proper divisors (1412954640).

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

472505040 is a wasteful number, since it uses less digits than its factorization.

472505040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 472505040 is about 21737.1810499890. The cubic root of 472505040 is about 778.8768845980.

The spelling of 472505040 in words is "four hundred seventy-two million, five hundred five thousand, forty".