1402153200 has 480 divisors, whose sum is σ = 6044613120. Its totient is φ = 301363200.

The previous prime is 1402153177. The next prime is 1402153201. The reversal of 1402153200 is 23512041.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1402153201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1284655 + ... + 1285745.

It is an arithmetic number, because the mean of its divisors is an integer number (12592944).

Almost surely, 2^1402153200 is an apocalyptic number.

1402153200 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 1402153200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3022306560).

1402153200 is an abundant number, since it is smaller than the sum of its proper divisors (4642459920).

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

1402153200 is a wasteful number, since it uses less digits than its factorization.

1402153200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1402153200 is about 37445.3361581920. The cubic root of 1402153200 is about 1119.2621628416.

Adding to 1402153200 its reverse (23512041), we get a palindrome (1425665241).

The spelling of 1402153200 in words is "one billion, four hundred two million, one hundred fifty-three thousand, two hundred".