1673540400 has 240 divisors, whose sum is σ = 6168605184. Its totient is φ = 379914240.

The previous prime is 1673540383. The next prime is 1673540423. The reversal of 1673540400 is 40453761.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a zygodrome in base 2.

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, 1402204 + ... + 1403396.

Almost surely, 2^1673540400 is an apocalyptic number.

1673540400 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 1673540400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084302592).

1673540400 is an abundant number, since it is smaller than the sum of its proper divisors (4495064784).

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

1673540400 is a wasteful number, since it uses less digits than its factorization.

1673540400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 1673540400 is about 40908.9281208882. The cubic root of 1673540400 is about 1187.2588082635.

The spelling of 1673540400 in words is "one billion, six hundred seventy-three million, five hundred forty thousand, four hundred".