946779395400 has 144 divisors (see below), whose sum is σ = 3186500777460. Its totient is φ = 251926617600.

The previous prime is 946779395311. The next prime is 946779395431. The reversal of 946779395400 is 4593977649.

It can be written as a sum of positive squares in 6 ways, for example, as 493233717636 + 453545677764 = 702306^2 + 673458^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 259314 + ... + 1400286.

Almost surely, 2^946779395400 is an apocalyptic number.

946779395400 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 946779395400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593250388730).

946779395400 is an abundant number, since it is smaller than the sum of its proper divisors (2239721382060).

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

946779395400 is a wasteful number, since it uses less digits than its factorization.

946779395400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141456 (or 1141444 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 946779395400 in words is "nine hundred forty-six billion, seven hundred seventy-nine million, three hundred ninety-five thousand, four hundred".