152463456 has 72 divisors (see below), whose sum is σ = 447580224. Its totient is φ = 49178880.

The previous prime is 152463449. The next prime is 152463473. The reversal of 152463456 is 654364251.

152463456 is a `hidden beast` number, since 15 + 2 + 4 + 634 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 152463456.

It is a congruent number.

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, 390 + ... + 17466.

It is an arithmetic number, because the mean of its divisors is an integer number (6216392).

Almost surely, 2^152463456 is an apocalyptic number.

152463456 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 152463456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223790112).

152463456 is an abundant number, since it is smaller than the sum of its proper divisors (295116768).

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

152463456 is a wasteful number, since it uses less digits than its factorization.

152463456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17124 (or 17113 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 152463456 is about 12347.6093232658. The cubic root of 152463456 is about 534.2221858723. Note that the first 3 decimals are identical.

It can be divided in two parts, 1524 and 63456, that added together give a triangular number (64980 = T₃₆₀).

The spelling of 152463456 in words is "one hundred fifty-two million, four hundred sixty-three thousand, four hundred fifty-six".