478377900 has 720 divisors, whose sum is σ = 2117364480. Its totient is φ = 90201600.

The previous prime is 478377899. The next prime is 478377919. The reversal of 478377900 is 9773874.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8108071 + ... + 8108129.

It is an arithmetic number, because the mean of its divisors is an integer number (2940784).

Almost surely, 2^478377900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478377900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058682240).

478377900 is an abundant number, since it is smaller than the sum of its proper divisors (1638986580).

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

478377900 is a wasteful number, since it uses less digits than its factorization.

478377900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 478377900 is about 21871.8517734553. The cubic root of 478377900 is about 782.0905457870.

The spelling of 478377900 in words is "four hundred seventy-eight million, three hundred seventy-seven thousand, nine hundred".