53464000 has 112 divisors (see below), whose sum is σ = 136465056. Its totient is φ = 20736000.

The previous prime is 53463989. The next prime is 53464009. The reversal of 53464000 is 46435.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53464009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 327919 + ... + 328081.

It is an arithmetic number, because the mean of its divisors is an integer number (1218438).

Almost surely, 2^53464000 is an apocalyptic number.

53464000 is a gapful number since it is divisible by the number (50) 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 53464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68232528).

53464000 is an abundant number, since it is smaller than the sum of its proper divisors (83001056).

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

53464000 is a wasteful number, since it uses less digits than its factorization.

53464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 53464000 is about 7311.9080957025. The cubic root of 53464000 is about 376.7215659488.

The spelling of 53464000 in words is "fifty-three million, four hundred sixty-four thousand".