4497476400 has 300 divisors, whose sum is σ = 16283060992. Its totient is φ = 1188794880.

The previous prime is 4497476393. The next prime is 4497476407. The reversal of 4497476400 is 46747944.

It is an interprime number because it is at equal distance from previous prime (4497476393) and next prime (4497476407).

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4497476407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4114254 + ... + 4115346.

Almost surely, 2^4497476400 is an apocalyptic number.

4497476400 is a gapful number since it is divisible by the number (40) 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 4497476400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8141530496).

4497476400 is an abundant number, since it is smaller than the sum of its proper divisors (11785584592).

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

4497476400 is a wasteful number, since it uses less digits than its factorization.

4497476400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 4497476400 is about 67063.2268832928. The cubic root of 4497476400 is about 1650.6549466044.

The spelling of 4497476400 in words is "four billion, four hundred ninety-seven million, four hundred seventy-six thousand, four hundred".