1455459456 has 96 divisors (see below), whose sum is σ = 4224721680. Its totient is φ = 440296960.

The previous prime is 1455459433. The next prime is 1455459461. The reversal of 1455459456 is 6549545541.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2479195 + ... + 2479781.

Almost surely, 2^1455459456 is an apocalyptic number.

1455459456 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 1455459456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2112360840).

1455459456 is an abundant number, since it is smaller than the sum of its proper divisors (2769262224).

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

1455459456 is an frugal number, since it uses more digits than its factorization.

1455459456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 603 counting only the distinct ones).

The product of its digits is 2160000, while the sum is 48.

The square root of 1455459456 is about 38150.4843481705. The cubic root of 1455459456 is about 1133.2699437056.

The spelling of 1455459456 in words is "one billion, four hundred fifty-five million, four hundred fifty-nine thousand, four hundred fifty-six".