1465894080 has 672 divisors, whose sum is σ = 6276441600. Its totient is φ = 306561024.

The previous prime is 1465894069. The next prime is 1465894081. The reversal of 1465894080 is 804985641.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1465894081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16470676 + ... + 16470764.

Almost surely, 2^1465894080 is an apocalyptic number.

1465894080 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 1465894080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3138220800).

1465894080 is an abundant number, since it is smaller than the sum of its proper divisors (4810547520).

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

1465894080 is a wasteful number, since it uses less digits than its factorization.

1465894080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 1465894080 is about 38286.9962258728. The cubic root of 1465894080 is about 1135.9717476277.

The spelling of 1465894080 in words is "one billion, four hundred sixty-five million, eight hundred ninety-four thousand, eighty".