152430768 has 240 divisors, whose sum is σ = 537168000. Its totient is φ = 41150592.

The previous prime is 152430767. The next prime is 152430769. The reversal of 152430768 is 867034251.

152430768 is a `hidden beast` number, since 152 + 430 + 76 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (152430767) and next prime (152430769).

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

It is not an unprimeable number, because it can be changed into a prime (152430763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 402003 + ... + 402381.

It is an arithmetic number, because the mean of its divisors is an integer number (2238200).

Almost surely, 2^152430768 is an apocalyptic number.

152430768 is a gapful number since it is divisible by the number (18) 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 152430768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268584000).

152430768 is an abundant number, since it is smaller than the sum of its proper divisors (384737232).

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

152430768 is a wasteful number, since it uses less digits than its factorization.

152430768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 152430768 is about 12346.2855952712. The cubic root of 152430768 is about 534.1840042573.

The spelling of 152430768 in words is "one hundred fifty-two million, four hundred thirty thousand, seven hundred sixty-eight".