451601964 has 144 divisors (see below), whose sum is σ = 1311448320. Its totient is φ = 129697920.

The previous prime is 451601963. The next prime is 451601977. The reversal of 451601964 is 469106154.

451601964 is a `hidden beast` number, since 45 + 1 + 601 + 9 + 6 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (451601963) 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, 1630194 + ... + 1630470.

It is an arithmetic number, because the mean of its divisors is an integer number (9107280).

Almost surely, 2^451601964 is an apocalyptic number.

451601964 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 451601964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655724160).

451601964 is an abundant number, since it is smaller than the sum of its proper divisors (859846356).

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

451601964 is a wasteful number, since it uses less digits than its factorization.

451601964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 451601964 is about 21250.9285444189. The cubic root of 451601964 is about 767.2176888960.

The spelling of 451601964 in words is "four hundred fifty-one million, six hundred one thousand, nine hundred sixty-four".