463971600 has 135 divisors (see below), whose sum is σ = 1614607813. Its totient is φ = 123381120.

The previous prime is 463971589. The next prime is 463971631. The reversal of 463971600 is 6179364.

The square root of 463971600 is 21540.

It is a perfect power (a square), and thus also a powerful number.

463971600 is a `hidden beast` number, since 4 + 639 + 7 + 16 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 167029776 + 296941824 = 12924^2 + 17232^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1292221 + ... + 1292579.

Almost surely, 2^463971600 is an apocalyptic number.

463971600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

463971600 is the 21540-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463971600

463971600 is an abundant number, since it is smaller than the sum of its proper divisors (1150636213).

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

463971600 is a wasteful number, since it uses less digits than its factorization.

463971600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The cubic root of 463971600 is about 774.1595328469.

Multiplying 463971600 by its sum of digits (36), we get a square (16702977600 = 129240²).

463971600 divided by its sum of digits (36) gives a square (12888100 = 3590²).

The spelling of 463971600 in words is "four hundred sixty-three million, nine hundred seventy-one thousand, six hundred".