406257852 has 192 divisors, whose sum is σ = 1315012608. Its totient is φ = 94176000.

The previous prime is 406257847. The next prime is 406257869. The reversal of 406257852 is 258752604.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 406257852.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 371827 + ... + 372917.

It is an arithmetic number, because the mean of its divisors is an integer number (6849024).

Almost surely, 2^406257852 is an apocalyptic number.

406257852 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 406257852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657506304).

406257852 is an abundant number, since it is smaller than the sum of its proper divisors (908754756).

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

406257852 is a wasteful number, since it uses less digits than its factorization.

406257852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 406257852 is about 20155.8391539524. The cubic root of 406257852 is about 740.6287886648.

The spelling of 406257852 in words is "four hundred six million, two hundred fifty-seven thousand, eight hundred fifty-two".