1465254720 has 168 divisors, whose sum is σ = 5163205320. Its totient is φ = 381173760.

The previous prime is 1465254719. The next prime is 1465254757. The reversal of 1465254720 is 274525641.

It is a happy number.

1465254720 is a `hidden beast` number, since 1 + 46 + 52 + 547 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 104530176 + 1360724544 = 10224^2 + 36888^2 .

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

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, 111876 + ... + 124284.

It is an arithmetic number, because the mean of its divisors is an integer number (30733365).

Almost surely, 2^1465254720 is an apocalyptic number.

1465254720 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 1465254720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2581602660).

1465254720 is an abundant number, since it is smaller than the sum of its proper divisors (3697950600).

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

1465254720 is a wasteful number, since it uses less digits than its factorization.

1465254720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12473 (or 12460 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 1465254720 is about 38278.6457440699. The cubic root of 1465254720 is about 1135.8065695918.

The spelling of 1465254720 in words is "one billion, four hundred sixty-five million, two hundred fifty-four thousand, seven hundred twenty".