406541952 has 192 divisors, whose sum is σ = 1242727200. Its totient is φ = 127346688.

The previous prime is 406541921. The next prime is 406542001. The reversal of 406541952 is 259145604.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1436403 + ... + 1436685.

Almost surely, 2^406541952 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 406541952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621363600).

406541952 is an abundant number, since it is smaller than the sum of its proper divisors (836185248).

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

406541952 is a wasteful number, since it uses less digits than its factorization.

406541952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 406541952 is about 20162.8855077838. The cubic root of 406541952 is about 740.8013913677.

The spelling of 406541952 in words is "four hundred six million, five hundred forty-one thousand, nine hundred fifty-two".