150302400 has 168 divisors, whose sum is σ = 498707664. Its totient is φ = 39628800.

The previous prime is 150302393. The next prime is 150302413. The reversal of 150302400 is 4203051.

150302400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×150302400² = 45181622891520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 150302400.

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, 830310 + ... + 830490.

It is an arithmetic number, because the mean of its divisors is an integer number (2968498).

Almost surely, 2^150302400 is an apocalyptic number.

150302400 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 150302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249353832).

150302400 is an abundant number, since it is smaller than the sum of its proper divisors (348405264).

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

150302400 is a wasteful number, since it uses less digits than its factorization.

150302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 150302400 is about 12259.7879263876. The cubic root of 150302400 is about 531.6860981991.

Adding to 150302400 its reverse (4203051), we get a palindrome (154505451).

The spelling of 150302400 in words is "one hundred fifty million, three hundred two thousand, four hundred".