200150400 has 96 divisors (see below), whose sum is σ = 659277000. Its totient is φ = 53370880.

The previous prime is 200150381. The next prime is 200150407. The reversal of 200150400 is 4051002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200150407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 825 + ... + 20024.

Almost surely, 2^200150400 is an apocalyptic number.

200150400 is a gapful number since it is divisible by the number (20) 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 200150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329638500).

200150400 is an abundant number, since it is smaller than the sum of its proper divisors (459126600).

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

200150400 is a wasteful number, since it uses less digits than its factorization.

200150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20876 (or 20859 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 200150400 is about 14147.4520674219. The cubic root of 200150400 is about 584.9501016684.

The spelling of 200150400 in words is "two hundred million, one hundred fifty thousand, four hundred".