155590400 has 216 divisors, whose sum is σ = 462303744. Its totient is φ = 50688000.

The previous prime is 155590387. The next prime is 155590417. The reversal of 155590400 is 4095551.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1030325 + ... + 1030475.

Almost surely, 2^155590400 is an apocalyptic number.

155590400 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 155590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231151872).

155590400 is an abundant number, since it is smaller than the sum of its proper divisors (306713344).

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

155590400 is a wasteful number, since it uses less digits than its factorization.

155590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

The square root of 155590400 is about 12473.5880964540. The cubic root of 155590400 is about 537.8497021232.

The spelling of 155590400 in words is "one hundred fifty-five million, five hundred ninety thousand, four hundred".