150406200 has 384 divisors, whose sum is σ = 621388800. Its totient is φ = 32693760.

The previous prime is 150406199. The next prime is 150406231. The reversal of 150406200 is 2604051.

It is a happy number.

150406200 is a `hidden beast` number, since 1 + 5 + 0 + 40 + 620 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 869314 + ... + 869486.

It is an arithmetic number, because the mean of its divisors is an integer number (1618200).

Almost surely, 2^150406200 is an apocalyptic number.

150406200 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 150406200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310694400).

150406200 is an abundant number, since it is smaller than the sum of its proper divisors (470982600).

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

150406200 is a wasteful number, since it uses less digits than its factorization.

150406200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 150406200 is about 12264.0205479280. The cubic root of 150406200 is about 531.8084655448.

The spelling of 150406200 in words is "one hundred fifty million, four hundred six thousand, two hundred".