405207509952 has 224 divisors, whose sum is σ = 1308280799232. Its totient is φ = 108164238336.

The previous prime is 405207509947. The next prime is 405207510013. The reversal of 405207509952 is 259905702504.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×405207509952² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1176793 + ... + 1481639.

Almost surely, 2^405207509952 is an apocalyptic number.

405207509952 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 405207509952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654140399616).

405207509952 is an abundant number, since it is smaller than the sum of its proper divisors (903073289280).

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

405207509952 is a wasteful number, since it uses less digits than its factorization.

405207509952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304935 (or 304925 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 48.

The spelling of 405207509952 in words is "four hundred five billion, two hundred seven million, five hundred nine thousand, nine hundred fifty-two".