470473920 has 280 divisors, whose sum is σ = 1913375904. Its totient is φ = 107495424.

The previous prime is 470473867. The next prime is 470473921. The reversal of 470473920 is 29374074.

It is a tau number, because it is divible by the number of its divisors (280).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (470473921) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 180144 + ... + 182736.

Almost surely, 2^470473920 is an apocalyptic number.

470473920 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 470473920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956687952).

470473920 is an abundant number, since it is smaller than the sum of its proper divisors (1442901984).

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

470473920 is a wasteful number, since it uses less digits than its factorization.

470473920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2629 (or 2610 counting only the distinct ones).

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

The square root of 470473920 is about 21690.4107844918. The cubic root of 470473920 is about 777.7592495057.

The spelling of 470473920 in words is "four hundred seventy million, four hundred seventy-three thousand, nine hundred twenty".