407264490 has 64 divisors (see below), whose sum is σ = 1092441600. Its totient is φ = 107963712.

The previous prime is 407264479. The next prime is 407264497. The reversal of 407264490 is 94462704.

407264490 is a `hidden beast` number, since 4 + 0 + 7 + 2 + 644 + 9 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (407264497) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42351 + ... + 51069.

It is an arithmetic number, because the mean of its divisors is an integer number (17069400).

Almost surely, 2^407264490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407264490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546220800).

407264490 is an abundant number, since it is smaller than the sum of its proper divisors (685177110).

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

407264490 is a wasteful number, since it uses less digits than its factorization.

407264490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8908 (or 8902 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 407264490 is about 20180.7950784898. The cubic root of 407264490 is about 741.2400015903.

The spelling of 407264490 in words is "four hundred seven million, two hundred sixty-four thousand, four hundred ninety".