152893440 has 384 divisors, whose sum is σ = 628992000. Its totient is φ = 34504704.

The previous prime is 152893439. The next prime is 152893451. The reversal of 152893440 is 44398251.

152893440 is a `hidden beast` number, since 1 + 528 + 93 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 152893395 and 152893404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1935321 + ... + 1935399.

It is an arithmetic number, because the mean of its divisors is an integer number (1638000).

Almost surely, 2^152893440 is an apocalyptic number.

152893440 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 152893440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314496000).

152893440 is an abundant number, since it is smaller than the sum of its proper divisors (476098560).

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

152893440 is an equidigital number, since it uses as much as digits as its factorization.

152893440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 152893440 is about 12365.0086938910. The cubic root of 152893440 is about 534.7239266236.

The spelling of 152893440 in words is "one hundred fifty-two million, eight hundred ninety-three thousand, four hundred forty".