1010292480 has 576 divisors, whose sum is σ = 3955875840. Its totient is φ = 243302400.

The previous prime is 1010292469. The next prime is 1010292499. The reversal of 1010292480 is 842920101.

1010292480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24641260 + ... + 24641300.

It is an arithmetic number, because the mean of its divisors is an integer number (6867840).

Almost surely, 2^1010292480 is an apocalyptic number.

1010292480 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 1010292480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1977937920).

1010292480 is an abundant number, since it is smaller than the sum of its proper divisors (2945583360).

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

1010292480 is a wasteful number, since it uses less digits than its factorization.

1010292480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1010292480 is about 31785.0983953173. The cubic root of 1010292480 is about 1003.4191229413.

The spelling of 1010292480 in words is "one billion, ten million, two hundred ninety-two thousand, four hundred eighty".