4955400 has 72 divisors (see below), whose sum is σ = 16647930. Its totient is φ = 1320960.

The previous prime is 4955399. The next prime is 4955407. The reversal of 4955400 is 45594.

It can be written as a sum of positive squares in 3 ways, for example, as 4588164 + 367236 = 2142^2 + 606^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) 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 (4955407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 424 + ... + 3176.

Almost surely, 2^4955400 is an apocalyptic number.

4955400 is a gapful number since it is divisible by the number (40) 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 4955400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8323965).

4955400 is an abundant number, since it is smaller than the sum of its proper divisors (11692530).

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

4955400 is a wasteful number, since it uses less digits than its factorization.

4955400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2775 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 4955400 is about 2226.0727750907. The cubic root of 4955400 is about 170.4876425428.

The spelling of 4955400 in words is "four million, nine hundred fifty-five thousand, four hundred".