902078496 has 72 divisors (see below), whose sum is σ = 2798503344. Its totient is φ = 273356160.

The previous prime is 902078491. The next prime is 902078503. The reversal of 902078496 is 694870209.

It is a happy number.

902078496 is a `hidden beast` number, since 90 + 2 + 0 + 78 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×902078496³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (902078491) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139206 + ... + 145541.

It is an arithmetic number, because the mean of its divisors is an integer number (38868102).

Almost surely, 2^902078496 is an apocalyptic number.

902078496 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

902078496 is an abundant number, since it is smaller than the sum of its proper divisors (1896424848).

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

902078496 is a wasteful number, since it uses less digits than its factorization.

902078496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284774 (or 284763 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 902078496 is about 30034.6216223877. The cubic root of 902078496 is about 966.2320597789.

The spelling of 902078496 in words is "nine hundred two million, seventy-eight thousand, four hundred ninety-six".