4650042400 has 72 divisors (see below), whose sum is σ = 11365030404. Its totient is φ = 1857868800.

The previous prime is 4650042373. The next prime is 4650042401. The reversal of 4650042400 is 42400564.

It can be written as a sum of positive squares in 6 ways, for example, as 957778704 + 3692263696 = 30948^2 + 60764^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (4650042401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 813954 + ... + 819646.

Almost surely, 2^4650042400 is an apocalyptic number.

4650042400 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 4650042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5682515202).

4650042400 is an abundant number, since it is smaller than the sum of its proper divisors (6714988004).

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

4650042400 is a wasteful number, since it uses less digits than its factorization.

4650042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6734 (or 6721 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 4650042400 is about 68191.2193761044. The cubic root of 4650042400 is about 1669.1126077784.

Adding to 4650042400 its reverse (42400564), we get a palindrome (4692442964).

The spelling of 4650042400 in words is "four billion, six hundred fifty million, forty-two thousand, four hundred".