5464800 has 288 divisors, whose sum is σ = 22498560. Its totient is φ = 1267200.

The previous prime is 5464787. The next prime is 5464813. The reversal of 5464800 is 84645.

It is an interprime number because it is at equal distance from previous prime (5464787) and next prime (5464813).

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 237589 + ... + 237611.

It is an arithmetic number, because the mean of its divisors is an integer number (78120).

Almost surely, 2^5464800 is an apocalyptic number.

5464800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5464800 is the 1350-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5464800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11249280).

5464800 is an abundant number, since it is smaller than the sum of its proper divisors (17033760).

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

5464800 is a wasteful number, since it uses less digits than its factorization.

5464800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5464800 is about 2337.6911686534. The cubic root of 5464800 is about 176.1400400582.

The spelling of 5464800 in words is "five million, four hundred sixty-four thousand, eight hundred".