1465766400 has 720 divisors, whose sum is σ = 6073673760. Its totient is φ = 309657600.

The previous prime is 1465766399. The next prime is 1465766411. The reversal of 1465766400 is 46675641.

It is a super-2 number, since 2×1465766400² = 4296942278737920000, 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 71 ways as a sum of consecutive naturals, for example, 35750380 + ... + 35750420.

It is an arithmetic number, because the mean of its divisors is an integer number (8435658).

Almost surely, 2^1465766400 is an apocalyptic number.

1465766400 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 1465766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3036836880).

1465766400 is an abundant number, since it is smaller than the sum of its proper divisors (4607907360).

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

1465766400 is a wasteful number, since it uses less digits than its factorization.

1465766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 1465766400 is about 38285.3287827074. The cubic root of 1465766400 is about 1135.9387654621.

The spelling of 1465766400 in words is "one billion, four hundred sixty-five million, seven hundred sixty-six thousand, four hundred".