5464900 has 72 divisors (see below), whose sum is σ = 13985216. Its totient is φ = 1814400.

The previous prime is 5464891. The next prime is 5464909. The reversal of 5464900 is 94645.

It is an interprime number because it is at equal distance from previous prime (5464891) and next prime (5464909).

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 not an unprimeable number, because it can be changed into a prime (5464909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25795 + ... + 26005.

Almost surely, 2^5464900 is an apocalyptic number.

5464900 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 5464900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6992608).

5464900 is an abundant number, since it is smaller than the sum of its proper divisors (8520316).

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

5464900 is a wasteful number, since it uses less digits than its factorization.

5464900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 5464900 is about 2337.7125571806. The cubic root of 5464900 is about 176.1411144432.

The spelling of 5464900 in words is "five million, four hundred sixty-four thousand, nine hundred".