479504150400 has 384 divisors, whose sum is σ = 1739088869760. Its totient is φ = 115154329600.

The previous prime is 479504150383. The next prime is 479504150401. The reversal of 479504150400 is 4051405974.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479504150401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11277982 + ... + 11320418.

It is an arithmetic number, because the mean of its divisors is an integer number (4528877265).

Almost surely, 2^479504150400 is an apocalyptic number.

479504150400 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 479504150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869544434880).

479504150400 is an abundant number, since it is smaller than the sum of its proper divisors (1259584719360).

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

479504150400 is a wasteful number, since it uses less digits than its factorization.

479504150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42582 (or 42565 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 479504150400 in words is "four hundred seventy-nine billion, five hundred four million, one hundred fifty thousand, four hundred".