405496000 has 224 divisors, whose sum is σ = 1238170752. Its totient is φ = 128102400.

The previous prime is 405495997. The next prime is 405496033. The reversal of 405496000 is 694504.

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

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 405496000.

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, 727722 + ... + 728278.

It is an arithmetic number, because the mean of its divisors is an integer number (5527548).

Almost surely, 2^405496000 is an apocalyptic number.

405496000 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 405496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619085376).

405496000 is an abundant number, since it is smaller than the sum of its proper divisors (832674752).

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

405496000 is a wasteful number, since it uses less digits than its factorization.

405496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 405496000 is about 20136.9312458478. The cubic root of 405496000 is about 740.1655339446.

The spelling of 405496000 in words is "four hundred five million, four hundred ninety-six thousand".