1663145400 has 192 divisors, whose sum is σ = 6029971200. Its totient is φ = 371266560.

The previous prime is 1663145399. The next prime is 1663145417. The reversal of 1663145400 is 45413661.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175996 + ... + 185204.

It is an arithmetic number, because the mean of its divisors is an integer number (31406100).

Almost surely, 2^1663145400 is an apocalyptic number.

1663145400 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 1663145400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3014985600).

1663145400 is an abundant number, since it is smaller than the sum of its proper divisors (4366825800).

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

1663145400 is a wasteful number, since it uses less digits than its factorization.

1663145400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9278 (or 9269 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 1663145400 is about 40781.6797103798. The cubic root of 1663145400 is about 1184.7955281094.

The spelling of 1663145400 in words is "one billion, six hundred sixty-three million, one hundred forty-five thousand, four hundred".