1452680400 has 120 divisors (see below), whose sum is σ = 4684821184. Its totient is φ = 384768000.

The previous prime is 1452680381. The next prime is 1452680419. The reversal of 1452680400 is 40862541.

It is an interprime number because it is at equal distance from previous prime (1452680381) and next prime (1452680419).

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

It is a super-2 number, since 2×1452680400² = 4220560689088320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 177192 + ... + 185208.

Almost surely, 2^1452680400 is an apocalyptic number.

1452680400 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 1452680400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2342410592).

1452680400 is an abundant number, since it is smaller than the sum of its proper divisors (3232140784).

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

1452680400 is a wasteful number, since it uses less digits than its factorization.

1452680400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8189 (or 8178 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 1452680400 is about 38114.0446554810. The cubic root of 1452680400 is about 1132.5481951528.

The spelling of 1452680400 in words is "one billion, four hundred fifty-two million, six hundred eighty thousand, four hundred".