407885352 has 192 divisors, whose sum is σ = 1282621440. Its totient is φ = 105753600.

The previous prime is 407885351. The next prime is 407885363. The reversal of 407885352 is 253588704.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407885351) 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, 1504977 + ... + 1505247.

It is an arithmetic number, because the mean of its divisors is an integer number (6680320).

Almost surely, 2^407885352 is an apocalyptic number.

407885352 is a gapful number since it is divisible by the number (42) 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 407885352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641310720).

407885352 is an abundant number, since it is smaller than the sum of its proper divisors (874736088).

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

407885352 is a wasteful number, since it uses less digits than its factorization.

407885352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The square root of 407885352 is about 20196.1717164417. The cubic root of 407885352 is about 741.6164760941.

The spelling of 407885352 in words is "four hundred seven million, eight hundred eighty-five thousand, three hundred fifty-two".