464686040 has 128 divisors (see below), whose sum is σ = 1354752000. Its totient is φ = 139304448.

The previous prime is 464686037. The next prime is 464686073. The reversal of 464686040 is 40686464.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 464685985 and 464686003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65801 + ... + 72519.

It is an arithmetic number, because the mean of its divisors is an integer number (10584000).

Almost surely, 2^464686040 is an apocalyptic number.

464686040 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 464686040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677376000).

464686040 is an abundant number, since it is smaller than the sum of its proper divisors (890065960).

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

464686040 is a wasteful number, since it uses less digits than its factorization.

464686040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6769 (or 6765 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The square root of 464686040 is about 21556.5776504528. The cubic root of 464686040 is about 774.5566885419.

The spelling of 464686040 in words is "four hundred sixty-four million, six hundred eighty-six thousand, forty".