1416452400 has 240 divisors, whose sum is σ = 5500302720. Its totient is φ = 343353600.

The previous prime is 1416452399. The next prime is 1416452407. The reversal of 1416452400 is 42546141.

1416452400 is a `hidden beast` number, since 1 + 416 + 4 + 5 + 240 + 0 = 666.

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 (27).

It is not an unprimeable number, because it can be changed into a prime (1416452407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112839 + ... + 124761.

It is an arithmetic number, because the mean of its divisors is an integer number (22917928).

Almost surely, 2^1416452400 is an apocalyptic number.

1416452400 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 1416452400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2750151360).

1416452400 is an abundant number, since it is smaller than the sum of its proper divisors (4083850320).

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

1416452400 is a wasteful number, since it uses less digits than its factorization.

1416452400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11961 (or 11944 counting only the distinct ones).

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

The square root of 1416452400 is about 37635.7861615777. The cubic root of 1416452400 is about 1123.0540582168.

Adding to 1416452400 its reverse (42546141), we get a palindrome (1458998541).

It can be divided in two parts, 14164 and 52400, that added together give a square (66564 = 258²).

The spelling of 1416452400 in words is "one billion, four hundred sixteen million, four hundred fifty-two thousand, four hundred".