5476900 has 72 divisors (see below), whose sum is σ = 13999104. Its totient is φ = 1833600.

The previous prime is 5476859. The next prime is 5476901. The reversal of 5476900 is 96745.

5476900 = 456² + 457² + ... + 480².

It is a super-2 number, since 2×5476900² = 59992867220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5476901) 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, 14109 + ... + 14491.

It is an arithmetic number, because the mean of its divisors is an integer number (194432).

Almost surely, 2^5476900 is an apocalyptic number.

5476900 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 5476900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6999552).

5476900 is an abundant number, since it is smaller than the sum of its proper divisors (8522204).

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

5476900 is a wasteful number, since it uses less digits than its factorization.

5476900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 5476900 is about 2340.2777612924. The cubic root of 5476900 is about 176.2699455992.

It can be divided in two parts, 5476 and 900, that multiplied together give a square (4928400 = 2220²).

The spelling of 5476900 in words is "five million, four hundred seventy-six thousand, nine hundred".