409421760 has 224 divisors, whose sum is σ = 1433486592. Its totient is φ = 98181120.

The previous prime is 409421759. The next prime is 409421783. The reversal of 409421760 is 67124904.

It is a happy number.

It is a super-2 number, since 2×409421760² = 335252355122995200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 1446579 + ... + 1446861.

Almost surely, 2^409421760 is an apocalyptic number.

409421760 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 409421760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716743296).

409421760 is an abundant number, since it is smaller than the sum of its proper divisors (1024064832).

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

409421760 is a wasteful number, since it uses less digits than its factorization.

409421760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 409421760 is about 20234.1730742820. The cubic root of 409421760 is about 742.5464742079.

The spelling of 409421760 in words is "four hundred nine million, four hundred twenty-one thousand, seven hundred sixty".