4976400 has 240 divisors, whose sum is σ = 19373760. Its totient is φ = 1075200.

The previous prime is 4976383. The next prime is 4976401. The reversal of 4976400 is 46794.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (4976401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171586 + ... + 171614.

It is an arithmetic number, because the mean of its divisors is an integer number (80724).

Almost surely, 2^4976400 is an apocalyptic number.

4976400 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 4976400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9686880).

4976400 is an abundant number, since it is smaller than the sum of its proper divisors (14397360).

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

4976400 is a wasteful number, since it uses less digits than its factorization.

4976400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 4976400 is about 2230.7846153316. The cubic root of 4976400 is about 170.7281340550.

The spelling of 4976400 in words is "four million, nine hundred seventy-six thousand, four hundred".