478135632 has 80 divisors (see below), whose sum is σ = 1333539648. Its totient is φ = 146749440.

The previous prime is 478135607. The next prime is 478135639. The reversal of 478135632 is 236531874.

It is a super-2 number, since 2×478135632² = 457227365176078848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478135639) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 350632 + ... + 351992.

Almost surely, 2^478135632 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 478135632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666769824).

478135632 is an abundant number, since it is smaller than the sum of its proper divisors (855404016).

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

478135632 is a wasteful number, since it uses less digits than its factorization.

478135632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948 (or 1942 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 478135632 is about 21866.3127207127. The cubic root of 478135632 is about 781.9584971095.

The spelling of 478135632 in words is "four hundred seventy-eight million, one hundred thirty-five thousand, six hundred thirty-two".