406378252 has 48 divisors (see below), whose sum is σ = 838942720. Its totient is φ = 168599232.

The previous prime is 406378241. The next prime is 406378261. The reversal of 406378252 is 252873604.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230149 + ... + 231907.

Almost surely, 2^406378252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406378252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419471360).

406378252 is an abundant number, since it is smaller than the sum of its proper divisors (432564468).

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

406378252 is a wasteful number, since it uses less digits than its factorization.

406378252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 406378252 is about 20158.8256602412. The cubic root of 406378252 is about 740.7019465521.

The spelling of 406378252 in words is "four hundred six million, three hundred seventy-eight thousand, two hundred fifty-two".