4030400 has 84 divisors (see below), whose sum is σ = 10866120. Its totient is φ = 1459200.

The previous prime is 4030399. The next prime is 4030409. The reversal of 4030400 is 40304.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4030409) 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, 17486 + ... + 17714.

Almost surely, 2^4030400 is an apocalyptic number.

4030400 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 4030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5433060).

4030400 is an abundant number, since it is smaller than the sum of its proper divisors (6835720).

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

4030400 is a wasteful number, since it uses less digits than its factorization.

4030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 4030400 is about 2007.5856146127. The cubic root of 4030400 is about 159.1412323177.

Adding to 4030400 its reverse (40304), we get a palindrome (4070704).

Multiplying 4030400 by its reverse (40304), we get a square (162441241600 = 403040²).

4030400 divided by its reverse (40304) gives a square (100 = 10²).

The spelling of 4030400 in words is "four million, thirty thousand, four hundred".