1921400460 has 384 divisors, whose sum is σ = 7431782400. Its totient is φ = 402174720.

The previous prime is 1921400447. The next prime is 1921400471. The reversal of 1921400460 is 640041291.

1921400460 is a `hidden beast` number, since 192 + 14 + 0 + 0 + 460 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2225989 + ... + 2226851.

It is an arithmetic number, because the mean of its divisors is an integer number (19353600).

Almost surely, 2^1921400460 is an apocalyptic number.

1921400460 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 1921400460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3715891200).

1921400460 is an abundant number, since it is smaller than the sum of its proper divisors (5510381940).

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

1921400460 is a wasteful number, since it uses less digits than its factorization.

1921400460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1921400460 is about 43833.7821776766. The cubic root of 1921400460 is about 1243.1951202459.

The spelling of 1921400460 in words is "one billion, nine hundred twenty-one million, four hundred thousand, four hundred sixty".