1016214480 has 240 divisors, whose sum is σ = 3512560896. Its totient is φ = 263208960.

The previous prime is 1016214469. The next prime is 1016214517. The reversal of 1016214480 is 844126101.

It is a happy number.

1016214480 is a `hidden beast` number, since 10 + 162 + 14 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5265264 + ... + 5265456.

Almost surely, 2^1016214480 is an apocalyptic number.

1016214480 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 1016214480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756280448).

1016214480 is an abundant number, since it is smaller than the sum of its proper divisors (2496346416).

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

1016214480 is a wasteful number, since it uses less digits than its factorization.

1016214480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1016214480 is about 31878.1191415052. The cubic root of 1016214480 is about 1005.3758748486.

It can be divided in two parts, 10162 and 14480, that added together give a palindrome (24642).

The spelling of 1016214480 in words is "one billion, sixteen million, two hundred fourteen thousand, four hundred eighty".