946994400 has 324 divisors, whose sum is σ = 3673889856. Its totient is φ = 229363200.

The previous prime is 946994359. The next prime is 946994473. The reversal of 946994400 is 4499649.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 870657 + ... + 871743.

Almost surely, 2^946994400 is an apocalyptic number.

946994400 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 946994400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836944928).

946994400 is an abundant number, since it is smaller than the sum of its proper divisors (2726895456).

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

946994400 is a wasteful number, since it uses less digits than its factorization.

946994400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 946994400 is about 30773.2741189494. The cubic root of 946994400 is about 982.0097587254.

It can be divided in two parts, 94699 and 4400, that added together give a palindrome (99099).

The spelling of 946994400 in words is "nine hundred forty-six million, nine hundred ninety-four thousand, four hundred".