1455224904 has 192 divisors, whose sum is σ = 4801904640. Its totient is φ = 389093760.

The previous prime is 1455224899. The next prime is 1455224917. The reversal of 1455224904 is 4094225541.

It is a happy number.

1455224904 is a `hidden beast` number, since 1 + 45 + 522 + 4 + 90 + 4 = 666.

1455224904 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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, 543489 + ... + 546159.

It is an arithmetic number, because the mean of its divisors is an integer number (25009920).

Almost surely, 2^1455224904 is an apocalyptic number.

1455224904 is a gapful number since it is divisible by the number (14) 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 1455224904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400952320).

1455224904 is an abundant number, since it is smaller than the sum of its proper divisors (3346679736).

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

1455224904 is a wasteful number, since it uses less digits than its factorization.

1455224904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2760 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1455224904 is about 38147.4101873246. The cubic root of 1455224904 is about 1133.2090637292.

It can be divided in two parts, 145522 and 4904, that added together give a triangular number (150426 = T₅₄₈).

The spelling of 1455224904 in words is "one billion, four hundred fifty-five million, two hundred twenty-four thousand, nine hundred four".