4950400 has 192 divisors, whose sum is σ = 15936480. Its totient is φ = 1474560.

The previous prime is 4950397. The next prime is 4950401. The reversal of 4950400 is 40594.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4950401) 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, 291192 + ... + 291208.

Almost surely, 2^4950400 is an apocalyptic number.

4950400 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 4950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7968240).

4950400 is an abundant number, since it is smaller than the sum of its proper divisors (10986080).

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

4950400 is a wasteful number, since it uses less digits than its factorization.

4950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 4950400 is about 2224.9494376277. The cubic root of 4950400 is about 170.4302825533.

Adding to 4950400 its reverse (40594), we get a palindrome (4990994).

The spelling of 4950400 in words is "four million, nine hundred fifty thousand, four hundred".