461972640 has 96 divisors (see below), whose sum is σ = 1459321920. Its totient is φ = 122845184.

The previous prime is 461972611. The next prime is 461972653. The reversal of 461972640 is 46279164.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199972 + ... + 202268.

It is an arithmetic number, because the mean of its divisors is an integer number (15201270).

Almost surely, 2^461972640 is an apocalyptic number.

461972640 is a gapful number since it is divisible by the number (40) 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 461972640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729660960).

461972640 is an abundant number, since it is smaller than the sum of its proper divisors (997349280).

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

461972640 is a wasteful number, since it uses less digits than its factorization.

461972640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2734 (or 2726 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 461972640 is about 21493.5487995817. The cubic root of 461972640 is about 773.0461445174.

The spelling of 461972640 in words is "four hundred sixty-one million, nine hundred seventy-two thousand, six hundred forty".