949460400 has 480 divisors, whose sum is σ = 4071564800. Its totient is φ = 205286400.

The previous prime is 949460389. The next prime is 949460423. The reversal of 949460400 is 4064949.

949460400 is a `hidden beast` number, since 9 + 49 + 4 + 604 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1436070 + ... + 1436730.

Almost surely, 2^949460400 is an apocalyptic number.

949460400 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 949460400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2035782400).

949460400 is an abundant number, since it is smaller than the sum of its proper divisors (3122104400).

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

949460400 is a wasteful number, since it uses less digits than its factorization.

949460400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 949460400 is about 30813.3153036151. The cubic root of 949460400 is about 982.8614135673.

The spelling of 949460400 in words is "nine hundred forty-nine million, four hundred sixty thousand, four hundred".