405464500 has 192 divisors, whose sum is σ = 1083543552. Its totient is φ = 129600000.

The previous prime is 405464497. The next prime is 405464513. The reversal of 405464500 is 5464504.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4014450 + ... + 4014550.

It is an arithmetic number, because the mean of its divisors is an integer number (5643456).

Almost surely, 2^405464500 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 405464500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541771776).

405464500 is an abundant number, since it is smaller than the sum of its proper divisors (678079052).

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

405464500 is a wasteful number, since it uses less digits than its factorization.

405464500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 405464500 is about 20136.1490856618. The cubic root of 405464500 is about 740.1463674439.

The spelling of 405464500 in words is "four hundred five million, four hundred sixty-four thousand, five hundred".