1602400900 has 27 divisors (see below), whose sum is σ = 3478078821. Its totient is φ = 640800240.

The previous prime is 1602400889. The next prime is 1602400901. The reversal of 1602400900 is 90042061.

The square root of 1602400900 is 40030.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 576864324 + 1025536576 = 24018^2 + 32024^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1602400901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 398299 + ... + 402301.

Almost surely, 2^1602400900 is an apocalyptic number.

1602400900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1602400900 is the 40030-th square number.

It is an amenable number.

1602400900 is an abundant number, since it is smaller than the sum of its proper divisors (1875677921).

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

1602400900 is an frugal number, since it uses more digits than its factorization.

1602400900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8020 (or 4010 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The cubic root of 1602400900 is about 1170.1918257567.

Adding to 1602400900 its reverse (90042061), we get a palindrome (1692442961).

The spelling of 1602400900 in words is "one billion, six hundred two million, four hundred thousand, nine hundred".