1403630400 has 168 divisors, whose sum is σ = 4754132224. Its totient is φ = 362188800.

The previous prime is 1403630399. The next prime is 1403630401. The reversal of 1403630400 is 40363041.

It is an interprime number because it is at equal distance from previous prime (1403630399) and next prime (1403630401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1403630401) 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, 144084 + ... + 153516.

Almost surely, 2^1403630400 is an apocalyptic number.

1403630400 is a gapful number since it is divisible by the number (10) 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 1403630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2377066112).

1403630400 is an abundant number, since it is smaller than the sum of its proper divisors (3350501824).

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

1403630400 is a wasteful number, since it uses less digits than its factorization.

1403630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9489 (or 9474 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1403630400 is about 37465.0557186293. The cubic root of 1403630400 is about 1119.6550808632.

Adding to 1403630400 its reverse (40363041), we get a palindrome (1443993441).

The spelling of 1403630400 in words is "one billion, four hundred three million, six hundred thirty thousand, four hundred".