478345500 has 288 divisors, whose sum is σ = 1628110848. Its totient is φ = 122472000.

The previous prime is 478345489. The next prime is 478345529. The reversal of 478345500 is 5543874.

478345500 = 129² + 130² + ... + 1128².

478345500 is a `hidden beast` number, since 4 + 78 + 34 + 550 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3766437 + ... + 3766563.

Almost surely, 2^478345500 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 478345500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814055424).

478345500 is an abundant number, since it is smaller than the sum of its proper divisors (1149765348).

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

478345500 is a wasteful number, since it uses less digits than its factorization.

478345500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 478345500 is about 21871.1110828874. Note that the first 3 decimals coincide. The cubic root of 478345500 is about 782.0728886824.

The spelling of 478345500 in words is "four hundred seventy-eight million, three hundred forty-five thousand, five hundred".