1634424400 has 90 divisors (see below), whose sum is σ = 4567854030. Its totient is φ = 560367360.

The previous prime is 1634424383. The next prime is 1634424409. The reversal of 1634424400 is 44244361.

It can be written as a sum of positive squares in 3 ways, for example, as 102171664 + 1532252736 = 10108^2 + 39144^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1634424409) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22095 + ... + 61294.

Almost surely, 2^1634424400 is an apocalyptic number.

1634424400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1634424400 is an abundant number, since it is smaller than the sum of its proper divisors (2933429630).

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

1634424400 is a wasteful number, since it uses less digits than its factorization.

1634424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83421 (or 83403 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 1634424400 is about 40428.0150390790. The cubic root of 1634424400 is about 1177.9357763063.

Adding to 1634424400 its reverse (44244361), we get a palindrome (1678668761).

The spelling of 1634424400 in words is "one billion, six hundred thirty-four million, four hundred twenty-four thousand, four hundred".