946814400 has 672 divisors, whose sum is σ = 4112117760. Its totient is φ = 207360000.

The previous prime is 946814357. The next prime is 946814411. The reversal of 946814400 is 4418649.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

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

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, 9374350 + ... + 9374450.

Almost surely, 2^946814400 is an apocalyptic number.

946814400 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 946814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056058880).

946814400 is an abundant number, since it is smaller than the sum of its proper divisors (3165303360).

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

946814400 is a wasteful number, since it uses less digits than its factorization.

946814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 946814400 is about 30770.3493642825. The cubic root of 946814400 is about 981.9475362677.

The spelling of 946814400 in words is "nine hundred forty-six million, eight hundred fourteen thousand, four hundred".