407961312 has 96 divisors (see below), whose sum is σ = 1229800320. Its totient is φ = 117112320.

The previous prime is 407961311. The next prime is 407961313. The reversal of 407961312 is 213169704.

It is an interprime number because it is at equal distance from previous prime (407961311) and next prime (407961313).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×407961312² = 332864864177522688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407961311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9898 + ... + 30230.

It is an arithmetic number, because the mean of its divisors is an integer number (12810420).

Almost surely, 2^407961312 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 407961312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614900160).

407961312 is an abundant number, since it is smaller than the sum of its proper divisors (821839008).

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

407961312 is a wasteful number, since it uses less digits than its factorization.

407961312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20376 (or 20368 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 407961312 is about 20198.0521833171. The cubic root of 407961312 is about 741.6625100189.

The spelling of 407961312 in words is "four hundred seven million, nine hundred sixty-one thousand, three hundred twelve".