407229888 has 224 divisors, whose sum is σ = 1265367040. Its totient is φ = 114462720.

The previous prime is 407229853. The next prime is 407229923. The reversal of 407229888 is 888922704.

It is an interprime number because it is at equal distance from previous prime (407229853) and next prime (407229923).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1470006 + ... + 1470282.

It is an arithmetic number, because the mean of its divisors is an integer number (5648960).

Almost surely, 2^407229888 is an apocalyptic number.

407229888 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 407229888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632683520).

407229888 is an abundant number, since it is smaller than the sum of its proper divisors (858137152).

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

407229888 is a wasteful number, since it uses less digits than its factorization.

407229888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 407229888 is about 20179.9377600626. The cubic root of 407229888 is about 741.2190085882.

The spelling of 407229888 in words is "four hundred seven million, two hundred twenty-nine thousand, eight hundred eighty-eight".