461477400 has 72 divisors (see below), whose sum is σ = 1432213020. Its totient is φ = 122920320.

The previous prime is 461477363. The next prime is 461477407. The reversal of 461477400 is 4774164.

It is a super-2 number, since 2×461477400² = 425922781421520000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461477407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 525762 + ... + 526638.

Almost surely, 2^461477400 is an apocalyptic number.

461477400 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 461477400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716106510).

461477400 is an abundant number, since it is smaller than the sum of its proper divisors (970735620).

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

461477400 is an equidigital number, since it uses as much as digits as its factorization.

461477400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 461477400 is about 21482.0250442085. The cubic root of 461477400 is about 772.7698076198.

Multiplying 461477400 by its product of nonzero digits (18816), we get a square (8683158758400 = 2946720²).

The spelling of 461477400 in words is "four hundred sixty-one million, four hundred seventy-seven thousand, four hundred".