479773521920 has 384 divisors, whose sum is σ = 1444423518720. Its totient is φ = 148582563840.

The previous prime is 479773521847. The next prime is 479773521949. The reversal of 479773521920 is 29125377974.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128520374 + ... + 128524106.

It is an arithmetic number, because the mean of its divisors is an integer number (3761519580).

Almost surely, 2^479773521920 is an apocalyptic number.

479773521920 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 479773521920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722211759360).

479773521920 is an abundant number, since it is smaller than the sum of its proper divisors (964649996800).

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

479773521920 is a wasteful number, since it uses less digits than its factorization.

479773521920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3941 (or 3921 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 56.

The spelling of 479773521920 in words is "four hundred seventy-nine billion, seven hundred seventy-three million, five hundred twenty-one thousand, nine hundred twenty".