407488294272 has 64 divisors (see below), whose sum is σ = 1082819678400. Its totient is φ = 135775609344.

The previous prime is 407488294259. The next prime is 407488294307. The reversal of 407488294272 is 272492884704.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 766003 + ... + 1183949.

It is an arithmetic number, because the mean of its divisors is an integer number (16919057475).

Almost surely, 2^407488294272 is an apocalyptic number.

It is an amenable number.

407488294272 is an abundant number, since it is smaller than the sum of its proper divisors (675331384128).

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

407488294272 is a wasteful number, since it uses less digits than its factorization.

407488294272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420503 (or 420491 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 57.

The spelling of 407488294272 in words is "four hundred seven billion, four hundred eighty-eight million, two hundred ninety-four thousand, two hundred seventy-two".