478553040 has 120 divisors (see below), whose sum is σ = 1836751488. Its totient is φ = 109382400.

The previous prime is 478553039. The next prime is 478553069. The reversal of 478553040 is 40355874.

478553040 is a `hidden beast` number, since 4 + 7 + 85 + 530 + 40 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 478552986 and 478553004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42436 + ... + 52515.

Almost surely, 2^478553040 is an apocalyptic number.

478553040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

478553040 is an abundant number, since it is smaller than the sum of its proper divisors (1358198448).

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

478553040 is a wasteful number, since it uses less digits than its factorization.

478553040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94977 (or 94968 counting only the distinct ones).

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

The square root of 478553040 is about 21875.8551832837. The cubic root of 478553040 is about 782.1859784463.

The spelling of 478553040 in words is "four hundred seventy-eight million, five hundred fifty-three thousand, forty".