1455890625 has 224 divisors, whose sum is σ = 3374956800. Its totient is φ = 604800000.

The previous prime is 1455890609. The next prime is 1455890641. The reversal of 1455890625 is 5260985541.

1455890625 is a `hidden beast` number, since 1 + 4 + 5 + 589 + 0 + 62 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (1455890609) and next prime (1455890641).

It is not a de Polignac number, because 1455890625 - 2⁴ = 1455890609 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 50203111 + ... + 50203139.

Almost surely, 2^1455890625 is an apocalyptic number.

1455890625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1455890625 is an abundant number, since it is smaller than the sum of its proper divisors (1919066175).

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

1455890625 is an frugal number, since it uses more digits than its factorization.

1455890625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The square root of 1455890625 is about 38156.1348278360. The cubic root of 1455890625 is about 1133.3818402441.

The spelling of 1455890625 in words is "one billion, four hundred fifty-five million, eight hundred ninety thousand, six hundred twenty-five".