405098496 has 312 divisors, whose sum is σ = 1359574944. Its totient is φ = 119439360.

The previous prime is 405098489. The next prime is 405098509. The reversal of 405098496 is 694890504.

It is a happy number.

It is a super-2 number, since 2×405098496² = 328209582922924032, which contains 22 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 (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10948590 + ... + 10948626.

It is an arithmetic number, because the mean of its divisors is an integer number (4357612).

Almost surely, 2^405098496 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 405098496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679787472).

405098496 is an abundant number, since it is smaller than the sum of its proper divisors (954476448).

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

405098496 is an equidigital number, since it uses as much as digits as its factorization.

405098496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 405098496 is about 20127.0588015239. The cubic root of 405098496 is about 739.9235957152.

The spelling of 405098496 in words is "four hundred five million, ninety-eight thousand, four hundred ninety-six".