1008458464 has 48 divisors (see below), whose sum is σ = 2148446160. Its totient is φ = 463196160.

The previous prime is 1008458453. The next prime is 1008458471. The reversal of 1008458464 is 4648548001.

It is a super-2 number, since 2×1008458464² = 2033976947226478592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82032 + ... + 93520.

It is an arithmetic number, because the mean of its divisors is an integer number (44759295).

Almost surely, 2^1008458464 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 1008458464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074223080).

1008458464 is an abundant number, since it is smaller than the sum of its proper divisors (1139987696).

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

1008458464 is a wasteful number, since it uses less digits than its factorization.

1008458464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11723 (or 11715 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The square root of 1008458464 is about 31756.2350413269. The cubic root of 1008458464 is about 1002.8115756340.

The spelling of 1008458464 in words is "one billion, eight million, four hundred fifty-eight thousand, four hundred sixty-four".