152461440 has 320 divisors, whose sum is σ = 579827160. Its totient is φ = 38043648.

The previous prime is 152461433. The next prime is 152461447. The reversal of 152461440 is 44164251.

152461440 is a `hidden beast` number, since 1 + 5 + 2 + 4 + 614 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (152461433) and next prime (152461447).

It can be written as a sum of positive squares in 4 ways, for example, as 151585344 + 876096 = 12312^2 + 936^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (152461447) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 881194 + ... + 881366.

Almost surely, 2^152461440 is an apocalyptic number.

152461440 is a gapful number since it is divisible by the number (10) 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 152461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289913580).

152461440 is an abundant number, since it is smaller than the sum of its proper divisors (427365720).

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

152461440 is a wasteful number, since it uses less digits than its factorization.

152461440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 152461440 is about 12347.5276877600. The cubic root of 152461440 is about 534.2198312170.

The spelling of 152461440 in words is "one hundred fifty-two million, four hundred sixty-one thousand, four hundred forty".