407393699076 has 405 divisors, whose sum is σ = 1308720252021. Its totient is φ = 106801111872.

The previous prime is 407393699071. The next prime is 407393699107. The reversal of 407393699076 is 670996393704.

The square root of 407393699076 is 638274.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 60265340100 + 347128358976 = 245490^2 + 589176^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (407393699071) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2439483145 + ... + 2439483311.

Almost surely, 2^407393699076 is an apocalyptic number.

407393699076 is the 638274-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407393699076

407393699076 is an abundant number, since it is smaller than the sum of its proper divisors (901326552945).

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

407393699076 is a wasteful number, since it uses less digits than its factorization.

407393699076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 46294416, while the sum is 63.

The spelling of 407393699076 in words is "four hundred seven billion, three hundred ninety-three million, six hundred ninety-nine thousand, seventy-six".