406007952 has 80 divisors (see below), whose sum is σ = 1200875520. Its totient is φ = 115790976.

The previous prime is 406007929. The next prime is 406007971. The reversal of 406007952 is 259700604.

It is a super-3 number, since 3×406007952³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 348523 + ... + 349685.

It is an arithmetic number, because the mean of its divisors is an integer number (15010944).

Almost surely, 2^406007952 is an apocalyptic number.

406007952 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

406007952 is an abundant number, since it is smaller than the sum of its proper divisors (794867568).

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

406007952 is a wasteful number, since it uses less digits than its factorization.

406007952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2220 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 406007952 is about 20149.6390042105. The cubic root of 406007952 is about 740.4768973670.

The spelling of 406007952 in words is "four hundred six million, seven thousand, nine hundred fifty-two".