405450240 has 320 divisors, whose sum is σ = 1451907072. Its totient is φ = 95846400.

The previous prime is 405450217. The next prime is 405450277. The reversal of 405450240 is 42054504.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 405450240.

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, 3094975 + ... + 3095105.

Almost surely, 2^405450240 is an apocalyptic number.

405450240 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 405450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725953536).

405450240 is an abundant number, since it is smaller than the sum of its proper divisors (1046456832).

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

405450240 is a wasteful number, since it uses less digits than its factorization.

405450240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 405450240 is about 20135.7949929969. The cubic root of 405450240 is about 740.1376904731.

The spelling of 405450240 in words is "four hundred five million, four hundred fifty thousand, two hundred forty".