407942304 has 288 divisors, whose sum is σ = 1399628160. Its totient is φ = 101713920.

The previous prime is 407942303. The next prime is 407942341. The reversal of 407942304 is 403249704.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407942303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2357962 + ... + 2358134.

It is an arithmetic number, because the mean of its divisors is an integer number (4859820).

Almost surely, 2^407942304 is an apocalyptic number.

407942304 is a gapful number since it is divisible by the number (44) 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 407942304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699814080).

407942304 is an abundant number, since it is smaller than the sum of its proper divisors (991685856).

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

407942304 is a wasteful number, since it uses less digits than its factorization.

407942304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 407942304 is about 20197.5816374139. The cubic root of 407942304 is about 741.6509911653.

The spelling of 407942304 in words is "four hundred seven million, nine hundred forty-two thousand, three hundred four".