1823450400 has 576 divisors, whose sum is σ = 7087046400. Its totient is φ = 451584000.

The previous prime is 1823450393. The next prime is 1823450437. The reversal of 1823450400 is 40543281.

1823450400 is a `hidden beast` number, since 182 + 34 + 50 + 400 = 666.

It is a super-2 number, since 2×1823450400² = 6649942722520320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 25682365 + ... + 25682435.

It is an arithmetic number, because the mean of its divisors is an integer number (12303900).

Almost surely, 2^1823450400 is an apocalyptic number.

1823450400 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 1823450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3543523200).

1823450400 is an abundant number, since it is smaller than the sum of its proper divisors (5263596000).

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

1823450400 is a wasteful number, since it uses less digits than its factorization.

1823450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1823450400 is about 42701.8781788342. The cubic root of 1823450400 is about 1221.7002183481.

Adding to 1823450400 its reverse (40543281), we get a palindrome (1863993681).

The spelling of 1823450400 in words is "one billion, eight hundred twenty-three million, four hundred fifty thousand, four hundred".