1902406464 has 252 divisors, whose sum is σ = 6582180384. Its totient is φ = 514543104.

The previous prime is 1902406453. The next prime is 1902406469. The reversal of 1902406464 is 4646042091.

1902406464 is a `hidden beast` number, since 1 + 9 + 0 + 2 + 4 + 0 + 646 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1902406469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1454899 + ... + 1456205.

Almost surely, 2^1902406464 is an apocalyptic number.

1902406464 is a gapful number since it is divisible by the number (14) 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 1902406464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3291090192).

1902406464 is an abundant number, since it is smaller than the sum of its proper divisors (4679773920).

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

1902406464 is a wasteful number, since it uses less digits than its factorization.

1902406464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1902406464 is about 43616.5847356255. The cubic root of 1902406464 is about 1239.0850135235.

The spelling of 1902406464 in words is "one billion, nine hundred two million, four hundred six thousand, four hundred sixty-four".