405450624 has 128 divisors (see below), whose sum is σ = 1163289600. Its totient is φ = 124737536.

The previous prime is 405450611. The next prime is 405450641. The reversal of 405450624 is 426054504.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 405450591 and 405450600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255337 + ... + 256919.

It is an arithmetic number, because the mean of its divisors is an integer number (9088200).

Almost surely, 2^405450624 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 405450624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581644800).

405450624 is an abundant number, since it is smaller than the sum of its proper divisors (757838976).

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

405450624 is a wasteful number, since it uses less digits than its factorization.

405450624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 405450624 is about 20135.8045282527. The cubic root of 405450624 is about 740.1379241333.

The spelling of 405450624 in words is "four hundred five million, four hundred fifty thousand, six hundred twenty-four".