838504464 has 240 divisors, whose sum is σ = 2716486848. Its totient is φ = 221405184.

The previous prime is 838504441. The next prime is 838504507. The reversal of 838504464 is 464405838.

It is a super-2 number, since 2×838504464² = 1406179472295854592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2678772 + ... + 2679084.

Almost surely, 2^838504464 is an apocalyptic number.

838504464 is a gapful number since it is divisible by the number (84) 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 838504464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358243424).

838504464 is an abundant number, since it is smaller than the sum of its proper divisors (1877982384).

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

838504464 is a wasteful number, since it uses less digits than its factorization.

838504464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The square root of 838504464 is about 28956.9415512067. The cubic root of 838504464 is about 942.9785045932.

The spelling of 838504464 in words is "eight hundred thirty-eight million, five hundred four thousand, four hundred sixty-four".