1516430400 has 168 divisors, whose sum is σ = 4993501824. Its totient is φ = 402892800.

The previous prime is 1516430393. The next prime is 1516430401. The reversal of 1516430400 is 40346151.

It is a super-2 number, since 2×1516430400² = 4599122316088320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1516430401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2068434 + ... + 2069166.

Almost surely, 2^1516430400 is an apocalyptic number.

1516430400 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 1516430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496750912).

1516430400 is an abundant number, since it is smaller than the sum of its proper divisors (3477071424).

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

1516430400 is a wasteful number, since it uses less digits than its factorization.

1516430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1516430400 is about 38941.3713163777. The cubic root of 1516430400 is about 1148.8786549033.

Adding to 1516430400 its reverse (40346151), we get a palindrome (1556776551).

The spelling of 1516430400 in words is "one billion, five hundred sixteen million, four hundred thirty thousand, four hundred".