946572260400 has 360 divisors, whose sum is σ = 3745645263360. Its totient is φ = 219296194560.

The previous prime is 946572260399. The next prime is 946572260437. The reversal of 946572260400 is 4062275649.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 200721 + ... + 1390479.

It is an arithmetic number, because the mean of its divisors is an integer number (10404570176).

Almost surely, 2^946572260400 is an apocalyptic number.

946572260400 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 946572260400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872822631680).

946572260400 is an abundant number, since it is smaller than the sum of its proper divisors (2799073002960).

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

946572260400 is a wasteful number, since it uses less digits than its factorization.

946572260400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189813 (or 1189799 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 946572260400 in words is "nine hundred forty-six billion, five hundred seventy-two million, two hundred sixty thousand, four hundred".