406280952 has 432 divisors, whose sum is σ = 1524533400. Its totient is φ = 96526080.

The previous prime is 406280951. The next prime is 406280969. The reversal of 406280952 is 259082604.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406280951) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 14009674 + ... + 14009702.

Almost surely, 2^406280952 is an apocalyptic number.

406280952 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 406280952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762266700).

406280952 is an abundant number, since it is smaller than the sum of its proper divisors (1118252448).

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

406280952 is a wasteful number, since it uses less digits than its factorization.

406280952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 406280952 is about 20156.4121807429. The cubic root of 406280952 is about 740.6428258915.

The spelling of 406280952 in words is "four hundred six million, two hundred eighty thousand, nine hundred fifty-two".