461993664 has 224 divisors, whose sum is σ = 1455724800. Its totient is φ = 127733760.

The previous prime is 461993657. The next prime is 461993731. The reversal of 461993664 is 466399164.

It is a super-2 number, since 2×461993664² = 426876291152289792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1163514 + ... + 1163910.

Almost surely, 2^461993664 is an apocalyptic number.

461993664 is a gapful number since it is divisible by the number (44) 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 461993664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727862400).

461993664 is an abundant number, since it is smaller than the sum of its proper divisors (993731136).

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

461993664 is a wasteful number, since it uses less digits than its factorization.

461993664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 461 counting only the distinct ones).

The product of its digits is 839808, while the sum is 48.

The square root of 461993664 is about 21494.0378710004. The cubic root of 461993664 is about 773.0578712404.

The spelling of 461993664 in words is "four hundred sixty-one million, nine hundred ninety-three thousand, six hundred sixty-four".