464020040 has 64 divisors (see below), whose sum is σ = 1141378560. Its totient is φ = 168376320.

The previous prime is 464020031. The next prime is 464020043. The reversal of 464020040 is 40020464.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 464019994 and 464020021.

It is not an unprimeable number, because it can be changed into a prime (464020043) 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, 295337 + ... + 296903.

It is an arithmetic number, because the mean of its divisors is an integer number (17834040).

Almost surely, 2^464020040 is an apocalyptic number.

464020040 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 464020040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570689280).

464020040 is an abundant number, since it is smaller than the sum of its proper divisors (677358520).

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

464020040 is a wasteful number, since it uses less digits than its factorization.

464020040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2262 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 464020040 is about 21541.1243903377. The cubic root of 464020040 is about 774.1864734203.

The spelling of 464020040 in words is "four hundred sixty-four million, twenty thousand, forty".