1016372448 has 480 divisors, whose sum is σ = 3824916480. Its totient is φ = 257541120.

The previous prime is 1016372437. The next prime is 1016372459. The reversal of 1016372448 is 8442736101.

1016372448 is a `hidden beast` number, since 10 + 1 + 637 + 2 + 4 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1016372437) and next prime (1016372459).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7311963 + ... + 7312101.

It is an arithmetic number, because the mean of its divisors is an integer number (7968576).

Almost surely, 2^1016372448 is an apocalyptic number.

1016372448 is a gapful number since it is divisible by the number (18) 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 1016372448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1912458240).

1016372448 is an abundant number, since it is smaller than the sum of its proper divisors (2808544032).

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

1016372448 is a wasteful number, since it uses less digits than its factorization.

1016372448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1016372448 is about 31880.5967321818. The cubic root of 1016372448 is about 1005.4279665382.

The spelling of 1016372448 in words is "one billion, sixteen million, three hundred seventy-two thousand, four hundred forty-eight".