264450420 has 240 divisors, whose sum is σ = 926346960. Its totient is φ = 62705664.

The previous prime is 264450401. The next prime is 264450437. The reversal of 264450420 is 24054462.

It can be written as a sum of positive squares in 8 ways, for example, as 55532304 + 208918116 = 7452^2 + 14454^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 610524 + ... + 610956.

It is an arithmetic number, because the mean of its divisors is an integer number (3859779).

Almost surely, 2^264450420 is an apocalyptic number.

264450420 is a gapful number since it is divisible by the number (20) 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 264450420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463173480).

264450420 is an abundant number, since it is smaller than the sum of its proper divisors (661896540).

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

264450420 is a wasteful number, since it uses less digits than its factorization.

264450420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 264450420 is about 16261.9316195832. The cubic root of 264450420 is about 641.8714914413.

The spelling of 264450420 in words is "two hundred sixty-four million, four hundred fifty thousand, four hundred twenty".