946999872 has 504 divisors, whose sum is σ = 3557244600. Its totient is φ = 238436352.

The previous prime is 946999853. The next prime is 946999913. The reversal of 946999872 is 278999649.

946999872 is a `hidden beast` number, since 9 + 469 + 99 + 87 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1806336 + 945193536 = 1344^2 + 30744^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-3 number, since 3×946999872³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10640404 + ... + 10640492.

It is an arithmetic number, because the mean of its divisors is an integer number (7058025).

Almost surely, 2^946999872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 946999872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778622300).

946999872 is an abundant number, since it is smaller than the sum of its proper divisors (2610244728).

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

946999872 is a wasteful number, since it uses less digits than its factorization.

946999872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 143 counting only the distinct ones).

The product of its digits is 17635968, while the sum is 63.

The square root of 946999872 is about 30773.3630271376. The cubic root of 946999872 is about 982.0116501647.

The spelling of 946999872 in words is "nine hundred forty-six million, nine hundred ninety-nine thousand, eight hundred seventy-two".