461597940 has 288 divisors, whose sum is σ = 1589462784. Its totient is φ = 111974400.

The previous prime is 461597911. The next prime is 461597987. The reversal of 461597940 is 49795164.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3056865 + ... + 3057015.

It is an arithmetic number, because the mean of its divisors is an integer number (5518968).

Almost surely, 2^461597940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461597940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794731392).

461597940 is an abundant number, since it is smaller than the sum of its proper divisors (1127864844).

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

461597940 is a wasteful number, since it uses less digits than its factorization.

461597940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 461597940 is about 21484.8304624449. The cubic root of 461597940 is about 772.8370854276.

The spelling of 461597940 in words is "four hundred sixty-one million, five hundred ninety-seven thousand, nine hundred forty".