407488004 has 48 divisors (see below), whose sum is σ = 900372480. Its totient is φ = 156742560.

The previous prime is 407488001. The next prime is 407488027. The reversal of 407488004 is 400884704.

It is not an unprimeable number, because it can be changed into a prime (407488001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15959 + ... + 32705.

It is an arithmetic number, because the mean of its divisors is an integer number (18757760).

Almost surely, 2^407488004 is an apocalyptic number.

407488004 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 407488004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450186240).

407488004 is an abundant number, since it is smaller than the sum of its proper divisors (492884476).

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

407488004 is a wasteful number, since it uses less digits than its factorization.

407488004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16848 (or 16846 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 35.

The square root of 407488004 is about 20186.3321086323. The cubic root of 407488004 is about 741.3755786924.

The spelling of 407488004 in words is "four hundred seven million, four hundred eighty-eight thousand, four".