490040400 has 120 divisors (see below), whose sum is σ = 1652458720. Its totient is φ = 123793920.

The previous prime is 490040363. The next prime is 490040407. The reversal of 490040400 is 4040094.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490040407) 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, 12054 + ... + 33546.

Almost surely, 2^490040400 is an apocalyptic number.

490040400 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 490040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826229360).

490040400 is an abundant number, since it is smaller than the sum of its proper divisors (1162418320).

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

490040400 is a wasteful number, since it uses less digits than its factorization.

490040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21533 (or 21522 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 490040400 is about 22136.8561453518. The cubic root of 490040400 is about 788.3951825791.

Adding to 490040400 its reverse (4040094), we get a palindrome (494080494).

The spelling of 490040400 in words is "four hundred ninety million, forty thousand, four hundred".