950999400 has 768 divisors, whose sum is σ = 3999744000. Its totient is φ = 205286400.

The previous prime is 950999339. The next prime is 950999429. The reversal of 950999400 is 4999059.

It is a happy number.

950999400 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-4 number, since 4×950999400⁴ (a number of 37 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30677385 + ... + 30677415.

It is an arithmetic number, because the mean of its divisors is an integer number (5208000).

Almost surely, 2^950999400 is an apocalyptic number.

950999400 is a gapful number since it is divisible by the number (90) 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 950999400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999872000).

950999400 is an abundant number, since it is smaller than the sum of its proper divisors (3048744600).

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

950999400 is a wasteful number, since it uses less digits than its factorization.

950999400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 950999400 is about 30838.2781620505. The cubic root of 950999400 is about 983.3921736951.

The spelling of 950999400 in words is "nine hundred fifty million, nine hundred ninety-nine thousand, four hundred".