152462440 has 64 divisors (see below), whose sum is σ = 370818000. Its totient is φ = 56082432.

The previous prime is 152462417. The next prime is 152462509. The reversal of 152462440 is 44264251.

It can be written as a sum of positive squares in 8 ways, for example, as 26977636 + 125484804 = 5194^2 + 11202^2 .

It is a super-2 number, since 2×152462440² = 46489591221507200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 152462399 and 152462408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 233154 + ... + 233806.

Almost surely, 2^152462440 is an apocalyptic number.

152462440 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 152462440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185409000).

152462440 is an abundant number, since it is smaller than the sum of its proper divisors (218355560).

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

152462440 is a wasteful number, since it uses less digits than its factorization.

152462440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 152462440 is about 12347.5681816299. The cubic root of 152462440 is about 534.2209992033.

The spelling of 152462440 in words is "one hundred fifty-two million, four hundred sixty-two thousand, four hundred forty".