461416440 has 64 divisors (see below), whose sum is σ = 1386201600. Its totient is φ = 122870912.

The previous prime is 461416399. The next prime is 461416441. The reversal of 461416440 is 44614164.

It is a super-2 number, since 2×461416440² = 425810262204547200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 461416398 and 461416407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461416441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98389 + ... + 102971.

It is an arithmetic number, because the mean of its divisors is an integer number (21659400).

Almost surely, 2^461416440 is an apocalyptic number.

461416440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461416440 is an abundant number, since it is smaller than the sum of its proper divisors (924785160).

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

461416440 is a wasteful number, since it uses less digits than its factorization.

461416440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5436 (or 5432 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 461416440 is about 21480.6061366992. The cubic root of 461416440 is about 772.7357791409.

The spelling of 461416440 in words is "four hundred sixty-one million, four hundred sixteen thousand, four hundred forty".