407040768 has 72 divisors (see below), whose sum is σ = 1203711600. Its totient is φ = 135677952.

The previous prime is 407040761. The next prime is 407040793. The reversal of 407040768 is 867040704.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (407040761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22533 + ... + 36356.

Almost surely, 2^407040768 is an apocalyptic number.

407040768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

407040768 is an abundant number, since it is smaller than the sum of its proper divisors (796670832).

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

407040768 is an equidigital number, since it uses as much as digits as its factorization.

407040768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58914 (or 58894 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 407040768 is about 20175.2513738987. The cubic root of 407040768 is about 741.1042486384.

The spelling of 407040768 in words is "four hundred seven million, forty thousand, seven hundred sixty-eight".