405051252 has 48 divisors (see below), whose sum is σ = 988753920. Its totient is φ = 128814048.

The previous prime is 405051209. The next prime is 405051277. The reversal of 405051252 is 252150504.

It is a happy number.

It is a super-3 number, since 3×405051252³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

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, 119493 + ... + 122835.

It is an arithmetic number, because the mean of its divisors is an integer number (20599040).

Almost surely, 2^405051252 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 405051252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494376960).

405051252 is an abundant number, since it is smaller than the sum of its proper divisors (583702668).

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

405051252 is a wasteful number, since it uses less digits than its factorization.

405051252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3812 (or 3810 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 405051252 is about 20125.8851233927. The cubic root of 405051252 is about 739.8948304398.

The spelling of 405051252 in words is "four hundred five million, fifty-one thousand, two hundred fifty-two".