264145420 has 144 divisors (see below), whose sum is σ = 720728064. Its totient is φ = 79516800.

The previous prime is 264145373. The next prime is 264145471. The reversal of 264145420 is 24541462.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 524889 + ... + 525391.

It is an arithmetic number, because the mean of its divisors is an integer number (5005056).

Almost surely, 2^264145420 is an apocalyptic number.

264145420 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 264145420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360364032).

264145420 is an abundant number, since it is smaller than the sum of its proper divisors (456582644).

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

264145420 is a wasteful number, since it uses less digits than its factorization.

264145420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 264145420 is about 16252.5511843526. The cubic root of 264145420 is about 641.6246321671.

Adding to 264145420 its reverse (24541462), we get a palindrome (288686882).

The spelling of 264145420 in words is "two hundred sixty-four million, one hundred forty-five thousand, four hundred twenty".