1455601680 has 240 divisors, whose sum is σ = 5394248496. Its totient is φ = 349470720.

The previous prime is 1455601673. The next prime is 1455601709. The reversal of 1455601680 is 861065541.

1455601680 is a `hidden beast` number, since 1 + 4 + 5 + 560 + 16 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 634435344 + 821166336 = 25188^2 + 28656^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 381864 + ... + 385656.

Almost surely, 2^1455601680 is an apocalyptic number.

1455601680 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 1455601680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2697124248).

1455601680 is an abundant number, since it is smaller than the sum of its proper divisors (3938646816).

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

1455601680 is a wasteful number, since it uses less digits than its factorization.

1455601680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3866 (or 3857 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1455601680 is about 38152.3482894566. The cubic root of 1455601680 is about 1133.3068559750.

The spelling of 1455601680 in words is "one billion, four hundred fifty-five million, six hundred one thousand, six hundred eighty".