1465079616 has 672 divisors, whose sum is σ = 5934821760. Its totient is φ = 351267840.

The previous prime is 1465079597. The next prime is 1465079633. The reversal of 1465079616 is 6169705641.

1465079616 is a `hidden beast` number, since 1 + 46 + 507 + 96 + 16 = 666.

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112698426 + ... + 112698438.

It is an arithmetic number, because the mean of its divisors is an integer number (8831580).

Almost surely, 2^1465079616 is an apocalyptic number.

1465079616 is a gapful number since it is divisible by the number (16) 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 1465079616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2967410880).

1465079616 is an abundant number, since it is smaller than the sum of its proper divisors (4469742144).

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

1465079616 is a wasteful number, since it uses less digits than its factorization.

1465079616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 1465079616 is about 38276.3584474803. The cubic root of 1465079616 is about 1135.7613232616.

The spelling of 1465079616 in words is "one billion, four hundred sixty-five million, seventy-nine thousand, six hundred sixteen".