1464452400 has 120 divisors (see below), whose sum is σ = 4842578944. Its totient is φ = 377913600.

The previous prime is 1464452399. The next prime is 1464452413. The reversal of 1464452400 is 42544641.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17517 + ... + 56883.

Almost surely, 2^1464452400 is an apocalyptic number.

1464452400 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 1464452400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421289472).

1464452400 is an abundant number, since it is smaller than the sum of its proper divisors (3378126544).

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

1464452400 is a wasteful number, since it uses less digits than its factorization.

1464452400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39419 (or 39408 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 1464452400 is about 38268.1643144795. The cubic root of 1464452400 is about 1135.5992230026.

The spelling of 1464452400 in words is "one billion, four hundred sixty-four million, four hundred fifty-two thousand, four hundred".