477483120 has 160 divisors (see below), whose sum is σ = 1651680000. Its totient is φ = 126786816.

The previous prime is 477483119. The next prime is 477483121. The reversal of 477483120 is 21384774.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (477483119) and next prime (477483121).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477483121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 956631 + ... + 957129.

It is an arithmetic number, because the mean of its divisors is an integer number (10323000).

Almost surely, 2^477483120 is an apocalyptic number.

477483120 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 477483120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825840000).

477483120 is an abundant number, since it is smaller than the sum of its proper divisors (1174196880).

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

477483120 is a wasteful number, since it uses less digits than its factorization.

477483120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 477483120 is about 21851.3871413235. The cubic root of 477483120 is about 781.6026220872.

The spelling of 477483120 in words is "four hundred seventy-seven million, four hundred eighty-three thousand, one hundred twenty".