461353872 has 80 divisors (see below), whose sum is σ = 1421337600. Its totient is φ = 126082176.

The previous prime is 461353861. The next prime is 461353891. The reversal of 461353872 is 278353164.

It is a self number, because there is not a number n which added to its sum of digits gives 461353872.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22122 + ... + 37577.

It is an arithmetic number, because the mean of its divisors is an integer number (17766720).

Almost surely, 2^461353872 is an apocalyptic number.

461353872 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

461353872 is an abundant number, since it is smaller than the sum of its proper divisors (959983728).

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

461353872 is a wasteful number, since it uses less digits than its factorization.

461353872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59740 (or 59734 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 461353872 is about 21479.1497038407. The cubic root of 461353872 is about 772.7008499435.

It can be divided in two parts, 4613 and 53872, that added together give a palindrome (58485).

The spelling of 461353872 in words is "four hundred sixty-one million, three hundred fifty-three thousand, eight hundred seventy-two".