407274768 has 30 divisors (see below), whose sum is σ = 1139804094. Its totient is φ = 135758208.

The previous prime is 407274767. The next prime is 407274781. The reversal of 407274768 is 867472704.

It can be written as a sum of positive squares in only one way, i.e., 404492544 + 2782224 = 20112^2 + 1668^2 .

It is not an unprimeable number, because it can be changed into a prime (407274761) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1414005 + ... + 1414292.

Almost surely, 2^407274768 is an apocalyptic number.

407274768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

407274768 is an abundant number, since it is smaller than the sum of its proper divisors (732529326).

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

407274768 is a wasteful number, since it uses less digits than its factorization.

407274768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828311 (or 2828302 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 407274768 is about 20181.0497249276. The cubic root of 407274768 is about 741.2462370146.

The spelling of 407274768 in words is "four hundred seven million, two hundred seventy-four thousand, seven hundred sixty-eight".