407234960 has 80 divisors (see below), whose sum is σ = 1058182272. Its totient is φ = 144460800.

The previous prime is 407234959. The next prime is 407234969. The reversal of 407234960 is 69432704.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 407234960.

It is not an unprimeable number, because it can be changed into a prime (407234969) 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, 30437 + ... + 41723.

Almost surely, 2^407234960 is an apocalyptic number.

407234960 is a gapful number since it is divisible by the number (40) 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 407234960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529091136).

407234960 is an abundant number, since it is smaller than the sum of its proper divisors (650947312).

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

407234960 is a wasteful number, since it uses less digits than its factorization.

407234960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11352 (or 11346 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 407234960 is about 20180.0634290381. The cubic root of 407234960 is about 741.2220858404. Note that the first 3 decimals are identical.

The spelling of 407234960 in words is "four hundred seven million, two hundred thirty-four thousand, nine hundred sixty".