950150400 has 432 divisors, whose sum is σ = 3449029248. Its totient is φ = 229376000.

The previous prime is 950150381. The next prime is 950150419. The reversal of 950150400 is 4051059.

It is an interprime number because it is at equal distance from previous prime (950150381) and next prime (950150419).

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 47 ways as a sum of consecutive naturals, for example, 13382365 + ... + 13382435.

It is an arithmetic number, because the mean of its divisors is an integer number (7983864).

Almost surely, 2^950150400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 950150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724514624).

950150400 is an abundant number, since it is smaller than the sum of its proper divisors (2498878848).

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

950150400 is a wasteful number, since it uses less digits than its factorization.

950150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 950150400 is about 30824.5097284612. The cubic root of 950150400 is about 983.0994470716.

The spelling of 950150400 in words is "nine hundred fifty million, one hundred fifty thousand, four hundred".