472460040 has 192 divisors, whose sum is σ = 1715313600. Its totient is φ = 116266752.

The previous prime is 472460011. The next prime is 472460047. The reversal of 472460040 is 40064274.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 472459986 and 472460013.

It is not an unprimeable number, because it can be changed into a prime (472460047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124491 + ... + 128229.

It is an arithmetic number, because the mean of its divisors is an integer number (8933925).

Almost surely, 2^472460040 is an apocalyptic number.

472460040 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 472460040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857656800).

472460040 is an abundant number, since it is smaller than the sum of its proper divisors (1242853560).

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

472460040 is a wasteful number, since it uses less digits than its factorization.

472460040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3778 (or 3762 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 472460040 is about 21736.1459325245. The cubic root of 472460040 is about 778.8521578265.

The spelling of 472460040 in words is "four hundred seventy-two million, four hundred sixty thousand, forty".