479862600 has 192 divisors, whose sum is σ = 1728877440. Its totient is φ = 107827200.

The previous prime is 479862577. The next prime is 479862601. The reversal of 479862600 is 6268974.

It is a super-2 number, since 2×479862600² = 460536229757520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479862601) 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, 255264 + ... + 257136.

It is an arithmetic number, because the mean of its divisors is an integer number (9004570).

Almost surely, 2^479862600 is an apocalyptic number.

479862600 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 479862600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864438720).

479862600 is an abundant number, since it is smaller than the sum of its proper divisors (1249014840).

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

479862600 is a wasteful number, since it uses less digits than its factorization.

479862600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1960 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 479862600 is about 21905.7663641334. The cubic root of 479862600 is about 782.8988123800.

The spelling of 479862600 in words is "four hundred seventy-nine million, eight hundred sixty-two thousand, six hundred".