1900464 has 60 divisors (see below), whose sum is σ = 5253384. Its totient is φ = 591872.

The previous prime is 1900463. The next prime is 1900487. The reversal of 1900464 is 4640091.

It is a super-2 number, since 2×1900464² = 7223526830592, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1900463) 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, 13804 + ... + 13940.

2^1900464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1900464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2626692).

1900464 is an abundant number, since it is smaller than the sum of its proper divisors (3352920).

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

1900464 is a wasteful number, since it uses less digits than its factorization.

1900464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1900464 is about 1378.5731754245. The cubic root of 1900464 is about 123.8663144743.

The spelling of 1900464 in words is "one million, nine hundred thousand, four hundred sixty-four".