463079232 has 336 divisors, whose sum is σ = 1694639232. Its totient is φ = 117411840.

The previous prime is 463079231. The next prime is 463079233. The reversal of 463079232 is 232970364.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (463079231) and next prime (463079233).

It is a tau number, because it is divible by the number of its divisors (336).

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 (463079231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2350558 + ... + 2350754.

Almost surely, 2^463079232 is an apocalyptic number.

463079232 is a gapful number since it is divisible by the number (42) 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 463079232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847319616).

463079232 is an abundant number, since it is smaller than the sum of its proper divisors (1231560000).

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

463079232 is a wasteful number, since it uses less digits than its factorization.

463079232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 463079232 is about 21519.2758242465. The cubic root of 463079232 is about 773.6628942825.

The spelling of 463079232 in words is "four hundred sixty-three million, seventy-nine thousand, two hundred thirty-two".