1663292400 has 480 divisors, whose sum is σ = 6801850368. Its totient is φ = 337382400.

The previous prime is 1663292399. The next prime is 1663292443. The reversal of 1663292400 is 42923661.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4342609 + ... + 4342991.

Almost surely, 2^1663292400 is an apocalyptic number.

1663292400 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 1663292400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3400925184).

1663292400 is an abundant number, since it is smaller than the sum of its proper divisors (5138557968).

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

1663292400 is a wasteful number, since it uses less digits than its factorization.

1663292400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 1663292400 is about 40783.4819504171. The cubic root of 1663292400 is about 1184.8304338191.

The spelling of 1663292400 in words is "one billion, six hundred sixty-three million, two hundred ninety-two thousand, four hundred".