471957120 has 96 divisors (see below), whose sum is σ = 1629746820. Its totient is φ = 125853696.

The previous prime is 471957041. The next prime is 471957133. The reversal of 471957120 is 21759174.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 467597376 + 4359744 = 21624^2 + 2088^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35209 + ... + 46728.

Almost surely, 2^471957120 is an apocalyptic number.

471957120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

471957120 is an abundant number, since it is smaller than the sum of its proper divisors (1157789700).

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

471957120 is a wasteful number, since it uses less digits than its factorization.

471957120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81962 (or 81947 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 471957120 is about 21724.5741039957. The cubic root of 471957120 is about 778.5757045388.

The spelling of 471957120 in words is "four hundred seventy-one million, nine hundred fifty-seven thousand, one hundred twenty".