461312544 has 192 divisors, whose sum is σ = 1598994432. Its totient is φ = 112742400.

The previous prime is 461312531. The next prime is 461312549. The reversal of 461312544 is 445213164.

It is not an unprimeable number, because it can be changed into a prime (461312549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123829 + ... + 127499.

It is an arithmetic number, because the mean of its divisors is an integer number (8328096).

Almost surely, 2^461312544 is an apocalyptic number.

461312544 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 461312544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799497216).

461312544 is an abundant number, since it is smaller than the sum of its proper divisors (1137681888).

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

461312544 is a wasteful number, since it uses less digits than its factorization.

461312544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3719 (or 3711 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 461312544 is about 21478.1876330383. The cubic root of 461312544 is about 772.6777764517.

The spelling of 461312544 in words is "four hundred sixty-one million, three hundred twelve thousand, five hundred forty-four".