478748400 has 120 divisors (see below), whose sum is σ = 1651613040. Its totient is φ = 117841920.

The previous prime is 478748371. The next prime is 478748401. The reversal of 478748400 is 4847874.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478748401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256 + ... + 30944.

It is an arithmetic number, because the mean of its divisors is an integer number (13763442).

Almost surely, 2^478748400 is an apocalyptic number.

478748400 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 478748400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825806520).

478748400 is an abundant number, since it is smaller than the sum of its proper divisors (1172864640).

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

478748400 is a wasteful number, since it uses less digits than its factorization.

478748400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30723 (or 30712 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 42.

The square root of 478748400 is about 21880.3199245349. The cubic root of 478748400 is about 782.2924013859.

The spelling of 478748400 in words is "four hundred seventy-eight million, seven hundred forty-eight thousand, four hundred".