463936896 has 160 divisors (see below), whose sum is σ = 1429203600. Its totient is φ = 149216256.

The previous prime is 463936871. The next prime is 463936897. The reversal of 463936896 is 698639364.

It is a happy number.

463936896 is a `hidden beast` number, since 463 + 93 + 6 + 8 + 96 = 666.

It is a super-2 number, since 2×463936896² = 430474886940229632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463936897) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 299901 + ... + 301443.

Almost surely, 2^463936896 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 463936896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714601800).

463936896 is an abundant number, since it is smaller than the sum of its proper divisors (965266704).

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

463936896 is a wasteful number, since it uses less digits than its factorization.

463936896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598 (or 1577 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 54.

The square root of 463936896 is about 21539.1944139051. The cubic root of 463936896 is about 774.1402305862.

The spelling of 463936896 in words is "four hundred sixty-three million, nine hundred thirty-six thousand, eight hundred ninety-six".