463492152 has 128 divisors (see below), whose sum is σ = 1354824000. Its totient is φ = 146603520.

The previous prime is 463492151. The next prime is 463492157. The reversal of 463492152 is 251294364.

It is a happy number.

463492152 is a `hidden beast` number, since 4 + 634 + 9 + 2 + 15 + 2 = 666.

It is a super-2 number, since 2×463492152² = 429649949931182208, 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 not an unprimeable number, because it can be changed into a prime (463492151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381498 + ... + 382710.

Almost surely, 2^463492152 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 463492152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677412000).

463492152 is an abundant number, since it is smaller than the sum of its proper divisors (891331848).

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

463492152 is a wasteful number, since it uses less digits than its factorization.

463492152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 1308 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 463492152 is about 21528.8678754829. The cubic root of 463492152 is about 773.8927800520.

The spelling of 463492152 in words is "four hundred sixty-three million, four hundred ninety-two thousand, one hundred fifty-two".