463554432 has 192 divisors, whose sum is σ = 1470746160. Its totient is φ = 138977280.

The previous prime is 463554407. The next prime is 463554449. The reversal of 463554432 is 234455364.

463554432 is a `hidden beast` number, since 4 + 63 + 554 + 43 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×463554432² = 429765422853685248, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1989388 + ... + 1989620.

Almost surely, 2^463554432 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 463554432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735373080).

463554432 is an abundant number, since it is smaller than the sum of its proper divisors (1007191728).

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

463554432 is a wasteful number, since it uses less digits than its factorization.

463554432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 406 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

The square root of 463554432 is about 21530.3142568798. The cubic root of 463554432 is about 773.9274414686.

The spelling of 463554432 in words is "four hundred sixty-three million, five hundred fifty-four thousand, four hundred thirty-two".