477291909120 has 624 divisors, whose sum is σ = 1693696973760. Its totient is φ = 114647629824.

The previous prime is 477291909109. The next prime is 477291909131. The reversal of 477291909120 is 21909192774.

It is a happy number.

477291909120 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (477291909109) and next prime (477291909131).

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-2 number, since 2×477291909120² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 446483946 + ... + 446485014.

Almost surely, 2^477291909120 is an apocalyptic number.

477291909120 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 477291909120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846848486880).

477291909120 is an abundant number, since it is smaller than the sum of its proper divisors (1216405064640).

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

477291909120 is a wasteful number, since it uses less digits than its factorization.

477291909120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 51.

The spelling of 477291909120 in words is "four hundred seventy-seven billion, two hundred ninety-one million, nine hundred nine thousand, one hundred twenty".