407072484 has 144 divisors (see below), whose sum is σ = 1277098368. Its totient is φ = 106458624.

The previous prime is 407072467. The next prime is 407072509. The reversal of 407072484 is 484270704.

407072484 is a `hidden beast` number, since 40 + 70 + 72 + 484 = 666.

It is a super-3 number, since 3×407072484³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 448359 + ... + 449265.

Almost surely, 2^407072484 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 407072484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638549184).

407072484 is an abundant number, since it is smaller than the sum of its proper divisors (870025884).

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

407072484 is a wasteful number, since it uses less digits than its factorization.

407072484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 407072484 is about 20176.0373710994. The cubic root of 407072484 is about 741.1234967119.

The spelling of 407072484 in words is "four hundred seven million, seventy-two thousand, four hundred eighty-four".