406515265520 has 320 divisors, whose sum is σ = 1182488315904. Its totient is φ = 126537707520.

The previous prime is 406515265487. The next prime is 406515265561. The reversal of 406515265520 is 25562515604.

It is a super-2 number, since 2×406515265520² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 316846799 + ... + 316848081.

Almost surely, 2^406515265520 is an apocalyptic number.

406515265520 is a gapful number since it is divisible by the number (40) 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 406515265520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591244157952).

406515265520 is an abundant number, since it is smaller than the sum of its proper divisors (775973050384).

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

406515265520 is a wasteful number, since it uses less digits than its factorization.

406515265520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2000 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 41.

The spelling of 406515265520 in words is "four hundred six billion, five hundred fifteen million, two hundred sixty-five thousand, five hundred twenty".