1611478400 has 96 divisors (see below), whose sum is σ = 4549612080. Its totient is φ = 552499200.

The previous prime is 1611478361. The next prime is 1611478403. The reversal of 1611478400 is 48741161.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1611478403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13571 + ... + 58370.

Almost surely, 2^1611478400 is an apocalyptic number.

1611478400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1611478400 is an abundant number, since it is smaller than the sum of its proper divisors (2938133680).

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

1611478400 is an equidigital number, since it uses as much as digits as its factorization.

1611478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71972 (or 71955 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 1611478400 is about 40143.2235875496. The cubic root of 1611478400 is about 1172.3973538800.

The spelling of 1611478400 in words is "one billion, six hundred eleven million, four hundred seventy-eight thousand, four hundred".