461479392 has 288 divisors, whose sum is σ = 1529708544. Its totient is φ = 130636800.

The previous prime is 461479367. The next prime is 461479409. The reversal of 461479392 is 293974164.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3633633 + ... + 3633759.

It is an arithmetic number, because the mean of its divisors is an integer number (5311488).

Almost surely, 2^461479392 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 461479392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764854272).

461479392 is an abundant number, since it is smaller than the sum of its proper divisors (1068229152).

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

461479392 is a wasteful number, since it uses less digits than its factorization.

461479392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 211 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 461479392 is about 21482.0714085025. The cubic root of 461479392 is about 772.7709195235.

The spelling of 461479392 in words is "four hundred sixty-one million, four hundred seventy-nine thousand, three hundred ninety-two".