1016414200 has 24 divisors (see below), whose sum is σ = 2363163480. Its totient is φ = 406565600.

The previous prime is 1016414171. The next prime is 1016414227. The reversal of 1016414200 is 24146101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2540836 + ... + 2541235.

It is an arithmetic number, because the mean of its divisors is an integer number (98465145).

Almost surely, 2^1016414200 is an apocalyptic number.

1016414200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1016414200 is an abundant number, since it is smaller than the sum of its proper divisors (1346749280).

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

1016414200 is a wasteful number, since it uses less digits than its factorization.

1016414200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5082087 (or 5082078 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 1016414200 is about 31881.2515438149. The cubic root of 1016414200 is about 1005.4417338187.

The spelling of 1016414200 in words is "one billion, sixteen million, four hundred fourteen thousand, two hundred".