487579478400 has 1728 divisors, whose sum is σ = 2167241756400. Its totient is φ = 106677043200.

The previous prime is 487579478377. The next prime is 487579478423. The reversal of 487579478400 is 4874975784.

487579478400 is a `hidden beast` number, since 4 + 8 + 75 + 7 + 94 + 78 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (487579478377) and next prime (487579478423).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-3 number, since 3×487579478400³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 9199612774 + ... + 9199612826.

Almost surely, 2^487579478400 is an apocalyptic number.

487579478400 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 487579478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083620878200).

487579478400 is an abundant number, since it is smaller than the sum of its proper divisors (1679662278000).

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

487579478400 is a wasteful number, since it uses less digits than its factorization.

487579478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 487579478400 in words is "four hundred eighty-seven billion, five hundred seventy-nine million, four hundred seventy-eight thousand, four hundred".