283977956400 has 120 divisors (see below), whose sum is σ = 912602256384. Its totient is φ = 75483859200.

The previous prime is 283977956377. The next prime is 283977956419. The reversal of 283977956400 is 4659779382.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×283977956400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7264 + ... + 753663.

Almost surely, 2^283977956400 is an apocalyptic number.

283977956400 is a gapful number since it is divisible by the number (20) 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 283977956400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456301128192).

283977956400 is an abundant number, since it is smaller than the sum of its proper divisors (628624299984).

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

283977956400 is a wasteful number, since it uses less digits than its factorization.

283977956400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761259 (or 761248 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 60.

The spelling of 283977956400 in words is "two hundred eighty-three billion, nine hundred seventy-seven million, nine hundred fifty-six thousand, four hundred".