946672272 has 400 divisors, whose sum is σ = 3528940800. Its totient is φ = 238132224.

The previous prime is 946672267. The next prime is 946672277. The reversal of 946672272 is 272276649.

It is an interprime number because it is at equal distance from previous prime (946672267) and next prime (946672277).

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

It is not an unprimeable number, because it can be changed into a prime (946672277) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2712354 + ... + 2712702.

It is an arithmetic number, because the mean of its divisors is an integer number (8822352).

Almost surely, 2^946672272 is an apocalyptic number.

946672272 is a gapful number since it is divisible by the number (92) 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 946672272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764470400).

946672272 is an abundant number, since it is smaller than the sum of its proper divisors (2582268528).

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

946672272 is a wasteful number, since it uses less digits than its factorization.

946672272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 397 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 946672272 is about 30768.0397815655. The cubic root of 946672272 is about 981.8983998430.

The spelling of 946672272 in words is "nine hundred forty-six million, six hundred seventy-two thousand, two hundred seventy-two".