461980440 has 384 divisors, whose sum is σ = 1743768000. Its totient is φ = 105283584.

The previous prime is 461980439. The next prime is 461980447. The reversal of 461980440 is 44089164.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 461980395 and 461980404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461980447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3372052 + ... + 3372188.

Almost surely, 2^461980440 is an apocalyptic number.

461980440 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 461980440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871884000).

461980440 is an abundant number, since it is smaller than the sum of its proper divisors (1281787560).

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

461980440 is a wasteful number, since it uses less digits than its factorization.

461980440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 461980440 is about 21493.7302486097. The cubic root of 461980440 is about 773.0504952267.

The spelling of 461980440 in words is "four hundred sixty-one million, nine hundred eighty thousand, four hundred forty".