472379040 has 480 divisors, whose sum is σ = 1967099904. Its totient is φ = 104509440.

The previous prime is 472379027. The next prime is 472379041. The reversal of 472379040 is 40973274.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 472378986 and 472379004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472379041) 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, 3719457 + ... + 3719583.

Almost surely, 2^472379040 is an apocalyptic number.

472379040 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 472379040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983549952).

472379040 is an abundant number, since it is smaller than the sum of its proper divisors (1494720864).

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

472379040 is a wasteful number, since it uses less digits than its factorization.

472379040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 472379040 is about 21734.2825968561. The cubic root of 472379040 is about 778.8076456808.

The spelling of 472379040 in words is "four hundred seventy-two million, three hundred seventy-nine thousand, forty".