407427408 has 120 divisors (see below), whose sum is σ = 1210457248. Its totient is φ = 132596352.

The previous prime is 407427407. The next prime is 407427413. The reversal of 407427408 is 804724704.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407427407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165966 + ... + 168402.

Almost surely, 2^407427408 is an apocalyptic number.

407427408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407427408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605228624).

407427408 is an abundant number, since it is smaller than the sum of its proper divisors (803029840).

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

407427408 is a wasteful number, since it uses less digits than its factorization.

407427408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2503 (or 2485 counting only the distinct ones).

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

The square root of 407427408 is about 20184.8311362766. The cubic root of 407427408 is about 741.3388278179.

The spelling of 407427408 in words is "four hundred seven million, four hundred twenty-seven thousand, four hundred eight".