1465712640 has 408 divisors, whose sum is σ = 5888757888. Its totient is φ = 330301440.

The previous prime is 1465712639. The next prime is 1465712659. The reversal of 1465712640 is 462175641.

1465712640 is a `hidden beast` number, since 1 + 4 + 6 + 5 + 7 + 1 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1465712595 and 1465712604.

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, 20643805 + ... + 20643875.

Almost surely, 2^1465712640 is an apocalyptic number.

1465712640 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 1465712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2944378944).

1465712640 is an abundant number, since it is smaller than the sum of its proper divisors (4423045248).

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

1465712640 is an frugal number, since it uses more digits than its factorization.

1465712640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1465712640 is about 38284.6266796478. The cubic root of 1465712640 is about 1135.9248776615.

The spelling of 1465712640 in words is "one billion, four hundred sixty-five million, seven hundred twelve thousand, six hundred forty".