464877140 has 96 divisors (see below), whose sum is σ = 1218336000. Its totient is φ = 145069056.

The previous prime is 464877137. The next prime is 464877143. The reversal of 464877140 is 41778464.

It is an interprime number because it is at equal distance from previous prime (464877137) and next prime (464877143).

It is a super-2 number, since 2×464877140² = 432221510589159200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464877143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131111 + ... + 134609.

It is an arithmetic number, because the mean of its divisors is an integer number (12691000).

Almost surely, 2^464877140 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 464877140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609168000).

464877140 is an abundant number, since it is smaller than the sum of its proper divisors (753458860).

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

464877140 is a wasteful number, since it uses less digits than its factorization.

464877140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3601 (or 3599 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 41.

The square root of 464877140 is about 21561.0097166158. The cubic root of 464877140 is about 774.6628516172.

The spelling of 464877140 in words is "four hundred sixty-four million, eight hundred seventy-seven thousand, one hundred forty".