1464002400 has 432 divisors, whose sum is σ = 5664012480. Its totient is φ = 327398400.

The previous prime is 1464002399. The next prime is 1464002431. The reversal of 1464002400 is 42004641.

1464002400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6938295 + ... + 6938505.

It is an arithmetic number, because the mean of its divisors is an integer number (13111140).

Almost surely, 2^1464002400 is an apocalyptic number.

1464002400 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 1464002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2832006240).

1464002400 is an abundant number, since it is smaller than the sum of its proper divisors (4200010080).

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

1464002400 is a wasteful number, since it uses less digits than its factorization.

1464002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1464002400 is about 38262.2843019075. The cubic root of 1464002400 is about 1135.4828946509.

The spelling of 1464002400 in words is "one billion, four hundred sixty-four million, two thousand, four hundred".