150428400 has 120 divisors (see below), whose sum is σ = 489325824. Its totient is φ = 39494400.

The previous prime is 150428389. The next prime is 150428417. The reversal of 150428400 is 4824051.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 79465 + ... + 81335.

Almost surely, 2^150428400 is an apocalyptic number.

150428400 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 150428400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244662912).

150428400 is an abundant number, since it is smaller than the sum of its proper divisors (338897424).

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

150428400 is a wasteful number, since it uses less digits than its factorization.

150428400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1959 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 150428400 is about 12264.9256010789. The cubic root of 150428400 is about 531.8346292870.

The spelling of 150428400 in words is "one hundred fifty million, four hundred twenty-eight thousand, four hundred".