461971400 has 48 divisors (see below), whose sum is σ = 1171733040. Its totient is φ = 167988800.

The previous prime is 461971397. The next prime is 461971409. The reversal of 461971400 is 4179164.

It is not an unprimeable number, because it can be changed into a prime (461971409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102794 + ... + 107193.

It is an arithmetic number, because the mean of its divisors is an integer number (24411105).

Almost surely, 2^461971400 is an apocalyptic number.

461971400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461971400 is an abundant number, since it is smaller than the sum of its proper divisors (709761640).

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

461971400 is a wasteful number, since it uses less digits than its factorization.

461971400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210014 (or 210005 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 461971400 is about 21493.5199536977. The cubic root of 461971400 is about 773.0454528617.

The spelling of 461971400 in words is "four hundred sixty-one million, nine hundred seventy-one thousand, four hundred".