1464964800 has 336 divisors, whose sum is σ = 5484461472. Its totient is φ = 339148800.

The previous prime is 1464964769. The next prime is 1464964801. The reversal of 1464964800 is 84694641.

It is a super-2 number, since 2×1464964800² = 4292243730478080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1464964801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1060110 + ... + 1061490.

It is an arithmetic number, because the mean of its divisors is an integer number (16322802).

Almost surely, 2^1464964800 is an apocalyptic number.

1464964800 is a gapful number since it is divisible by the number (10) 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 1464964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2742230736).

1464964800 is an abundant number, since it is smaller than the sum of its proper divisors (4019496672).

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

1464964800 is a wasteful number, since it uses less digits than its factorization.

1464964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 1464964800 is about 38274.8585888962. The cubic root of 1464964800 is about 1135.7316532065.

The spelling of 1464964800 in words is "one billion, four hundred sixty-four million, nine hundred sixty-four thousand, eight hundred".